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31211201120 = 2551197182821
BaseRepresentation
bin11101000100010101…
…010010001001100000
32222120011101021221212
4131010111102021200
51002410031413440
622201020205252
72153304555311
oct350425221140
988504337855
1031211201120
1112266a003a0
126070699828
132c352aba58
141721252608
15c2a128465
hex744552260

31211201120 has 96 divisors (see below), whose sum is σ = 81269498016. Its totient is φ = 11232460800.

The previous prime is 31211201113. The next prime is 31211201137. The reversal of 31211201120 is 2110211213.

It is a junction number, because it is equal to n+sod(n) for n = 31211201095 and 31211201104.

It is a congruent number.

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, 79310 + ... + 262130.

It is an arithmetic number, because the mean of its divisors is an integer number (846557271).

Almost surely, 231211201120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31211201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40634749008).

31211201120 is an abundant number, since it is smaller than the sum of its proper divisors (50058296896).

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

31211201120 is a wasteful number, since it uses less digits than its factorization.

31211201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182944 (or 182936 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 31211201120 its reverse (2110211213), we get a palindrome (33321412333).

The spelling of 31211201120 in words is "thirty-one billion, two hundred eleven million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 97 110 160 176 194 220 352 388 440 485 776 880 970 1067 1552 1760 1940 2134 3104 3880 4268 5335 7760 8536 10670 15520 17072 21340 34144 42680 85360 170720 182821 365642 731284 914105 1462568 1828210 2011031 2925136 3656420 4022062 5850272 7312840 8044124 10055155 14625680 16088248 17733637 20110310 29251360 32176496 35467274 40220620 64352992 70934548 80441240 88668185 141869096 160882480 177336370 195070007 283738192 321764960 354672740 390140014 567476384 709345480 780280028 975350035 1418690960 1560560056 1950700070 2837381920 3121120112 3901400140 6242240224 7802800280 15605600560 31211201120