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31211301120 = 283552315541
BaseRepresentation
bin11101000100010101…
…101010100100000000
32222120011120101010120
4131010111222210000
51002410043113440
622201022300240
72153305452666
oct350425524400
988504511116
1031211301120
1112266a6953a
126070727680
132c3531541c
14172127ac36
15c2a147dd0
hex74456a900

31211301120 has 144 divisors (see below), whose sum is σ = 99878114112. Its totient is φ = 8306565120.

The previous prime is 31211301109. The next prime is 31211301131. The reversal of 31211301120 is 2110311213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31211301109) and next prime (31211301131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31211301120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2000550 + ... + 2016090.

Almost surely, 231211301120 is an apocalyptic number.

31211301120 is a gapful number since it is divisible by the number (30) 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 31211301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939057056).

31211301120 is an abundant number, since it is smaller than the sum of its proper divisors (68666812992).

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

31211301120 is a wasteful number, since it uses less digits than its factorization.

31211301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31211301120 its reverse (2110311213), we get a palindrome (33321612333).

The spelling of 31211301120 in words is "thirty-one billion, two hundred eleven million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 523 640 768 960 1046 1280 1569 1920 2092 2615 3138 3840 4184 5230 6276 7845 8368 10460 12552 15541 15690 16736 20920 25104 31082 31380 33472 41840 46623 50208 62164 62760 66944 77705 83680 93246 100416 124328 125520 133888 155410 167360 186492 200832 233115 248656 251040 310820 334720 372984 401664 466230 497312 502080 621640 669440 745968 932460 994624 1004160 1243280 1491936 1864920 1989248 2008320 2486560 2983872 3729840 3978496 4973120 5967744 7459680 8127943 9946240 11935488 14919360 16255886 19892480 24383829 29838720 32511772 40639715 48767658 59677440 65023544 81279430 97535316 121919145 130047088 162558860 195070632 243838290 260094176 325117720 390141264 487676580 520188352 650235440 780282528 975353160 1040376704 1300470880 1560565056 1950706320 2080753408 2600941760 3121130112 3901412640 5201883520 6242260224 7802825280 10403767040 15605650560 31211301120