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102113040414 = 23711604736551
BaseRepresentation
bin101111100011001101…
…0010101100000011110
3100202120102200220202210
41133012122111200132
53133111414243124
6114524324501250
710243312344120
oct1370632254036
9322512626683
10102113040414
113a3401706a0
121795954a826
139824515008
144d29943210
1529c99caa29
hex17c669581e

102113040414 has 64 divisors (see below), whose sum is σ = 254668603392. Its totient is φ = 26517756000.

The previous prime is 102113040397. The next prime is 102113040509. The reversal of 102113040414 is 414040311201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 2775439 + ... + 2811989.

It is an arithmetic number, because the mean of its divisors is an integer number (3979196928).

Almost surely, 2102113040414 is an apocalyptic number.

102113040414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102113040414 is an abundant number, since it is smaller than the sum of its proper divisors (152555562978).

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

102113040414 is a wasteful number, since it uses less digits than its factorization.

102113040414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42621.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102113040414 its reverse (414040311201), we get a palindrome (516153351615).

The spelling of 102113040414 in words is "one hundred two billion, one hundred thirteen million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 6047 12094 18141 36282 36551 42329 66517 73102 84658 109653 126987 133034 199551 219306 253974 255857 399102 402061 465619 511714 767571 804122 931238 1206183 1396857 1535142 2412366 2793714 2814427 5628854 8443281 16886562 221023897 442047794 663071691 1326143382 1547167279 2431262867 3094334558 4641501837 4862525734 7293788601 9283003674 14587577202 17018840069 34037680138 51056520207 102113040414