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12315103461102 = 23131929571501829
BaseRepresentation
bin1011001100110101010101…
…0111011111111011101110
31121121022102201211110011210
42303031111113133323232
53103232312441223402
642105251434455250
72410510513153221
oct263152527377356
947538381743153
1012315103461102
113a18895938a62
12146a8bb294526
136b4403620510
143080a89975b8
1516552652e06c
hexb33555dfeee

12315103461102 has 128 divisors (see below), whose sum is σ = 28934313408000. Its totient is φ = 3459963548160.

The previous prime is 12315103461061. The next prime is 12315103461109. The reversal of 12315103461102 is 20116430151321.

It is a self number, because there is not a number n which added to its sum of digits gives 12315103461102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315103461109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24289524 + ... + 24791352.

It is an arithmetic number, because the mean of its divisors is an integer number (226049323500).

Almost surely, 212315103461102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315103461102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467156704000).

12315103461102 is an abundant number, since it is smaller than the sum of its proper divisors (16619209946898).

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

12315103461102 is a wasteful number, since it uses less digits than its factorization.

12315103461102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502466.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 12315103461102 in words is "twelve trillion, three hundred fifteen billion, one hundred three million, four hundred sixty-one thousand, one hundred two".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 571 741 754 1102 1131 1142 1482 1653 1713 2262 3306 3426 7163 7423 10849 14326 14846 16559 21489 21698 22269 32547 33118 42978 44538 49677 65094 99354 141037 215267 282074 314621 423111 430534 501829 629242 645801 846222 943863 1003658 1291602 1505487 1887726 3010974 4090073 6523777 8180146 9534751 12270219 13047554 14553041 19069502 19571331 24540438 28604253 29106082 39142662 43659123 57208506 87318246 123951763 189189533 247903526 276507779 286544359 371855289 378379066 553015558 567568599 573088718 743710578 829523337 859633077 1135137198 1659046674 1719266154 3594601127 3725076667 5444342821 7189202254 7450153334 8309786411 10783803381 10888685642 11175230001 16333028463 16619572822 21567606762 22350460002 24929359233 32666056926 49858718466 70776456673 108027223343 141552913346 157885941809 212329370019 216054446686 315771883618 324081670029 424658740038 473657825427 648163340058 947315650854 2052517243517 4105034487034 6157551730551 12315103461102