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30122433422103 = 31117313746812709
BaseRepresentation
bin1101101100101011011001…
…11100011010001100010111
310221122200021011210000120010
412312111230330122030113
512422011220424001403
6144022015504211303
76226162660325541
oct666255474321427
9127580234700503
1030122433422103
119663941416220
123465b1a009b33
1313a66c1814a49
14761d0d972691
15373848708603
hex1b656cf1a317

30122433422103 has 64 divisors (see below), whose sum is σ = 49182556631040. Its totient is φ = 16178471884800.

The previous prime is 30122433422033. The next prime is 30122433422131.

It is a happy number.

30122433422103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30122433422103 - 228 = 30122164986647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30122433422173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22762888 + ... + 24049821.

It is an arithmetic number, because the mean of its divisors is an integer number (768477447360).

Almost surely, 230122433422103 is an apocalyptic number.

30122433422103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30122433422103 is a deficient number, since it is larger than the sum of its proper divisors (19060123208937).

30122433422103 is a wasteful number, since it uses less digits than its factorization.

30122433422103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46812808.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3012243 and 3422103, that added together give a palindrome (6434346).

The spelling of 30122433422103 in words is "thirty trillion, one hundred twenty-two billion, four hundred thirty-three million, four hundred twenty-two thousand, one hundred three".

Divisors: 1 3 11 17 31 33 37 51 93 111 187 341 407 527 561 629 1023 1147 1221 1581 1887 3441 5797 6919 12617 17391 19499 20757 37851 58497 214489 643467 46812709 140438127 514939799 795816053 1451193979 1544819397 1732070233 2387448159 4353581937 5196210699 8753976583 15963133769 19052772563 24670297643 26261929749 29445193961 47889401307 53694177223 57158317689 74010892929 88335581883 161082531669 271373274073 323897133571 590635949453 814119822219 912801012791 971691400713 1771907848359 2738403038373 10040811140701 30122433422103