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3120031243332 = 2233431188756519
BaseRepresentation
bin101101011001110000010…
…110101001110001000100
3102001021100100020012202000
4231121300112221301010
5402104310444241312
610345153401345300
7441262165663653
oct55316026516104
912037310205660
103120031243332
11aa321a330433
12424824198230
131982aa336143
14ab02045319a
155625c31badc
hex2d6705a9c44

3120031243332 has 96 divisors (see below), whose sum is σ = 8277928243200. Its totient is φ = 1015720697376.

The previous prime is 3120031243327. The next prime is 3120031243361. The reversal of 3120031243332 is 2333421300213.

3120031243332 is a `hidden beast` number, since 3 + 1 + 200 + 3 + 124 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3120031243296 and 3120031243305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55174969 + ... + 55231487.

It is an arithmetic number, because the mean of its divisors is an integer number (86228419200).

Almost surely, 23120031243332 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 3120031243332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138964121600).

3120031243332 is an abundant number, since it is smaller than the sum of its proper divisors (5157896999868).

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

3120031243332 is a wasteful number, since it uses less digits than its factorization.

3120031243332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68462 (or 68454 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3120031243332 its reverse (2333421300213), we get a palindrome (5453452543545).

The spelling of 3120031243332 in words is "three trillion, one hundred twenty billion, thirty-one million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 11887 23774 35661 47548 56519 71322 106983 113038 142644 169557 213966 226076 320949 339114 427932 508671 511141 641898 678228 1017342 1022282 1283796 1526013 1533423 2034684 2044564 2430317 3052026 3066846 4600269 4860634 6104052 6133692 7290951 9200538 9721268 13800807 14581902 18401076 21872853 27601614 29163804 43745706 55203228 65618559 87491412 131237118 262474236 671841353 1343682706 2015524059 2687365412 4031048118 6046572177 8062096236 12093144354 18139716531 24186288708 28889178179 36279433062 57778356358 72558866124 86667534537 115556712716 173335069074 260002603611 346670138148 520005207222 780007810833 1040010414444 1560015621666 3120031243332