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2931012102920 = 2351122213327361
BaseRepresentation
bin101010101001101101111…
…011110110101100001000
3101101012110021100222202212
4222221231323312230020
5341010203044243140
610122253253244252
7421521132543566
oct52515573665410
911335407328685
102931012102920
11a30042a14600
123b4072033688
13183515c9c525
14a1c0c89ca36
1551397e05765
hex2aa6def6b08

2931012102920 has 96 divisors (see below), whose sum is σ = 7249397180760. Its totient is φ = 1065735475200.

The previous prime is 2931012102917. The next prime is 2931012102979. The reversal of 2931012102920 is 292012101392.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2448717966244 + 482294136676 = 1564838^2 + 694474^2 .

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 23 ways as a sum of consecutive naturals, for example, 107110040 + ... + 107137400.

Almost surely, 22931012102920 is an apocalyptic number.

2931012102920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2931012102920 is an abundant number, since it is smaller than the sum of its proper divisors (4318385077840).

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

2931012102920 is a wasteful number, since it uses less digits than its factorization.

2931012102920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49527 (or 49512 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 2931012102920 in words is "two trillion, nine hundred thirty-one billion, twelve million, one hundred two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 22133 27361 44266 54722 88532 109444 110665 136805 177064 218888 221330 243463 273610 300971 442660 486926 547220 601942 885320 973852 1094440 1203884 1217315 1504855 1947704 2407768 2434630 2678093 3009710 3310681 4869260 5356186 6019420 6621362 9738520 10712372 12038840 13242724 13390465 16553405 21424744 26485448 26780930 33106810 53561860 66213620 107123720 132427240 605581013 1211162026 2422324052 3027905065 4844648104 6055810130 6661391143 12111620260 13322782286 24223240520 26645564572 33306955715 53291129144 66613911430 73275302573 133227822860 146550605146 266455645720 293101210292 366376512865 586202420584 732753025730 1465506051460 2931012102920