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42103211230124 = 221119233112160469
BaseRepresentation
bin10011001001010111010101…
…11100110000001110101100
312112002000202011220121010022
421210223222330300032230
521004304334033330444
6225313540452101312
711603566552402202
oct1144535274601654
9175060664817108
1042103211230124
1112462965124750
12487ba74304838
131a65414a0c825
14a57b40699072
154d0303cee9ee
hex264aeaf303ac

42103211230124 has 48 divisors (see below), whose sum is σ = 84612992755200. Its totient is φ = 18129783268800.

The previous prime is 42103211229973. The next prime is 42103211230141.

It is a happy number.

42103211230124 is nontrivially palindromic in base 10.

42103211230124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42103211230093 and 42103211230102.

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 15 ways as a sum of consecutive naturals, for example, 18407762 + ... + 20568230.

It is an arithmetic number, because the mean of its divisors is an integer number (1762770682400).

Almost surely, 242103211230124 is an apocalyptic number.

42103211230124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42103211230124 is an abundant number, since it is smaller than the sum of its proper divisors (42509781525076).

42103211230124 is a wasteful number, since it uses less digits than its factorization.

42103211230124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183814 (or 2183812 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 4210321 and 1230124, that added together give a palindrome (5440445).

The spelling of 42103211230124 in words is "forty-two trillion, one hundred three billion, two hundred eleven million, two hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 23311 46622 93244 256421 442909 512842 885818 1025684 1771636 2160469 4320938 4871999 8641876 9743998 19487996 23765159 41048911 47530318 82097822 95060636 164195644 451538021 903076042 1806152084 50362692859 100725385718 201450771436 553989621449 956891164321 1107979242898 1913782328642 2215958485796 3827564657284 10525802807531 21051605615062 42103211230124