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102140414310 = 23511824337549
BaseRepresentation
bin101111100100000001…
…0110000100101100110
3100202122100012122200210
41133020002300211212
53133140421224220
6114531143320250
710244064124314
oct1371002604546
9322570178623
10102140414310
113a354668050
1217966750086
13982a0aa89c
144d2d42b0b4
1529cc0d66e0
hex17c80b0966

102140414310 has 64 divisors (see below), whose sum is σ = 267461740800. Its totient is φ = 24757649280.

The previous prime is 102140414309. The next prime is 102140414329. The reversal of 102140414310 is 13414041201.

It is a super-2 number, since 2×1021404143102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2701416 + ... + 2738964.

It is an arithmetic number, because the mean of its divisors is an integer number (4179089700).

Almost surely, 2102140414310 is an apocalyptic number.

102140414310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102140414310 is an abundant number, since it is smaller than the sum of its proper divisors (165321326490).

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

102140414310 is a wasteful number, since it uses less digits than its factorization.

102140414310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45813.

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

Adding to 102140414310 its reverse (13414041201), we get a palindrome (115554455511).

The spelling of 102140414310 in words is "one hundred two billion, one hundred forty million, four hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 8243 16486 24729 37549 41215 49458 75098 82430 90673 112647 123645 181346 187745 225294 247290 272019 375490 413039 453365 544038 563235 826078 906730 1126470 1239117 1360095 2065195 2478234 2720190 4130390 6195585 12391170 309516407 619032814 928549221 1547582035 1857098442 3095164070 3404680477 4642746105 6809360954 9285492210 10214041431 17023402385 20428082862 34046804770 51070207155 102140414310