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231432101120 = 2851129566791
BaseRepresentation
bin1101011110001001101…
…1011001110100000000
3211010100220022212021202
43113202123121310000
512242433104213440
6254152441040332
722502050254533
oct3274233316400
9733326285252
10231432101120
118a171429a80
1238a2a1860a8
1318a932c218c
14b2b67d6a1a
156047b84615
hex35e26d9d00

231432101120 has 144 divisors (see below), whose sum is σ = 625602337920. Its totient is φ = 81255014400.

The previous prime is 231432101107. The next prime is 231432101123. The reversal of 231432101120 is 21101234132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231432101092 and 231432101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231432101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124925 + ... + 691715.

It is an arithmetic number, because the mean of its divisors is an integer number (4344460680).

Almost surely, 2231432101120 is an apocalyptic number.

231432101120 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 231432101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312801168960).

231432101120 is an abundant number, since it is smaller than the sum of its proper divisors (394170236800).

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

231432101120 is a wasteful number, since it uses less digits than its factorization.

231432101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566852 (or 566838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 231432101120 its reverse (21101234132), we get a palindrome (252533335252).

The spelling of 231432101120 in words is "two hundred thirty-one billion, four hundred thirty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 256 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1280 1408 1595 1760 1856 2320 2552 2816 3190 3520 3712 4640 5104 6380 7040 7424 9280 10208 12760 14080 18560 20416 25520 37120 40832 51040 81664 102080 204160 408320 566791 1133582 2267164 2833955 4534328 5667910 6234701 9068656 11335820 12469402 16436939 18137312 22671640 24938804 31173505 32873878 36274624 45343280 49877608 62347010 65747756 72549248 82184695 90686560 99755216 124694020 131495512 145098496 164369390 180806329 181373120 199510432 249388040 262991024 328738780 361612658 362746240 399020864 498776080 525982048 657477560 723225316 725492480 798041728 904031645 997552160 1051964096 1314955120 1446450632 1596083456 1808063290 1995104320 2103928192 2629910240 2892901264 3616126580 3990208640 4207856384 5259820480 5785802528 7232253160 7980417280 10519640960 11571605056 14464506320 21039281920 23143210112 28929012640 46286420224 57858025280 115716050560 231432101120