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30200011000032 = 2531794731953437
BaseRepresentation
bin1101101110111011111001…
…11011011000100011100000
310221221002111200200022012010
412313131330323120203200
512424244110304000112
6144121405445032520
76234610266006246
oct667357473304340
9127832450608163
1030200011000032
119693830995795
123478b6a6b5740
1313b0b05b10203
1476598cad2796
153758891c263c
hex1b777ced88e0

30200011000032 has 96 divisors (see below), whose sum is σ = 83947169632032. Its totient is φ = 9473508245504.

The previous prime is 30200011000031. The next prime is 30200011000057. The reversal of 30200011000032 is 23000011000203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30200010999981 and 30200011000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30200011000031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14483218 + ... + 16436654.

It is an arithmetic number, because the mean of its divisors is an integer number (874449683667).

Almost surely, 230200011000032 is an apocalyptic number.

30200011000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30200011000032 is an abundant number, since it is smaller than the sum of its proper divisors (53747158632000).

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

30200011000032 is a wasteful number, since it uses less digits than its factorization.

30200011000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962940 (or 1962932 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30200011000032 its reverse (23000011000203), we get a palindrome (53200022000235).

The spelling of 30200011000032 in words is "thirty trillion, two hundred billion, eleven million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 9473 18946 28419 37892 56838 75784 113676 151568 161041 227352 303136 322082 454704 483123 644164 909408 966246 1288328 1932492 1953437 2576656 3864984 3906874 5153312 5860311 7729968 7813748 11720622 15459936 15627496 23441244 31254992 33208429 46882488 62509984 66416858 93764976 99625287 132833716 187529952 199250574 265667432 398501148 531334864 797002296 1062669728 1594004592 3188009184 18504908701 37009817402 55514726103 74019634804 111029452206 148039269608 222058904412 296078539216 314583447917 444117808824 592157078432 629166895834 888235617648 943750343751 1258333791668 1776471235296 1887500687502 2516667583336 3775001375004 5033335166672 7550002750008 10066670333344 15100005500016 30200011000032