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231002664720 = 243513117941047
BaseRepresentation
bin1101011100100011010…
…1001110111100010000
3211002020222021020021220
43113020311032330100
512241043140232340
6254042100445040
722455314152422
oct3271065167420
9732228236256
10231002664720
1189a70a89063
123892a3a9780
1318a253452b9
14b27576c812
156020108ed0
hex35c8d4ef10

231002664720 has 160 divisors (see below), whose sum is σ = 725623557120. Its totient is φ = 60787484160.

The previous prime is 231002664713. The next prime is 231002664727. The reversal of 231002664720 is 27466200132.

231002664720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231002664713) and next prime (231002664727).

It is a super-2 number, since 2×2310026647202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231002664727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5607237 + ... + 5648283.

It is an arithmetic number, because the mean of its divisors is an integer number (4535147232).

Almost surely, 2231002664720 is an apocalyptic number.

231002664720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231002664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362811778560).

231002664720 is an abundant number, since it is smaller than the sum of its proper divisors (494620892400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231002664720 is a wasteful number, since it uses less digits than its factorization.

231002664720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41373 (or 41367 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 231002664720 its reverse (27466200132), we get a palindrome (258468864852).

The spelling of 231002664720 in words is "two hundred thirty-one billion, two million, six hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 179 240 262 358 393 524 537 655 716 786 895 1048 1074 1310 1432 1572 1790 1965 2096 2148 2620 2685 2864 3144 3580 3930 4296 5240 5370 6288 7160 7860 8592 10480 10740 14320 15720 21480 23449 31440 41047 42960 46898 70347 82094 93796 117245 123141 140694 164188 187592 205235 234490 246282 281388 328376 351735 375184 410470 468980 492564 562776 615705 656752 703470 820940 937960 985128 1125552 1231410 1406940 1641880 1875920 1970256 2462820 2813880 3283760 4925640 5377157 5627760 7347413 9851280 10754314 14694826 16131471 21508628 22042239 26885785 29389652 32262942 36737065 43017256 44084478 53771570 58779304 64525884 73474130 80657355 86034512 88168956 107543140 110211195 117558608 129051768 146948260 161314710 176337912 215086280 220422390 258103536 293896520 322629420 352675824 430172560 440844780 587793040 645258840 881689560 962511103 1290517680 1763379120 1925022206 2887533309 3850044412 4812555515 5775066618 7700088824 9625111030 11550133236 14437666545 15400177648 19250222060 23100266472 28875333090 38500444120 46200532944 57750666180 77000888240 115501332360 231002664720