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31102140120 = 23351673494447
BaseRepresentation
bin11100111101110101…
…001111111011011000
32222021120011102101120
4130331311033323120
51002144121440440
622142122445240
72150511554232
oct347565177330
988246142346
1031102140120
1112210390237
126040063820
132c18814c0c
141710983252
15c20783dd0
hex73dd4fed8

31102140120 has 128 divisors (see below), whose sum is σ = 94155264000. Its totient is φ = 8218768896.

The previous prime is 31102139989. The next prime is 31102140137. The reversal of 31102140120 is 2104120113.

It is a super-2 number, since 2×311021401202 (a number of 22 digits) contains 22 as substring.

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 31102140120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6991737 + ... + 6996183.

It is an arithmetic number, because the mean of its divisors is an integer number (735588000).

Almost surely, 231102140120 is an apocalyptic number.

31102140120 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 31102140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47077632000).

31102140120 is an abundant number, since it is smaller than the sum of its proper divisors (63053123880).

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

31102140120 is a wasteful number, since it uses less digits than its factorization.

31102140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31102140120 its reverse (2104120113), we get a palindrome (33206260233).

The spelling of 31102140120 in words is "thirty-one billion, one hundred two million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 349 501 668 698 835 1002 1047 1336 1396 1670 1745 2004 2094 2505 2792 3340 3490 4008 4188 4447 5010 5235 6680 6980 8376 8894 10020 10470 13341 13960 17788 20040 20940 22235 26682 35576 41880 44470 53364 58283 66705 88940 106728 116566 133410 174849 177880 233132 266820 291415 349698 466264 533640 582830 699396 742649 874245 1165660 1398792 1485298 1552003 1748490 2227947 2331320 2970596 3104006 3496980 3713245 4455894 4656009 5941192 6208012 6993960 7426490 7760015 8911788 9312018 11139735 12416024 14852980 15520030 17823576 18624036 22279470 23280045 29705960 31040060 37248072 44558940 46560090 62080120 89117880 93120180 186240360 259184501 518369002 777553503 1036738004 1295922505 1555107006 2073476008 2591845010 3110214012 3887767515 5183690020 6220428024 7775535030 10367380040 15551070060 31102140120