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11302400153106 = 2332931232818361
BaseRepresentation
bin1010010001111000101110…
…0010111101011000010010
31111000111110200220010011000
42210132023202331120102
52440134303414344411
640012130112202430
72244400004110626
oct244361342753022
944014420803130
1011302400153106
113668359262817
121326592b39416
1363ca725931aa
142b1079377186
1514900491e956
hexa478b8bd612

11302400153106 has 64 divisors (see below), whose sum is σ = 26820675302400. Its totient is φ = 3520213603200.

The previous prime is 11302400153053. The next prime is 11302400153123. The reversal of 11302400153106 is 60135100420311.

It is a happy number.

11302400153106 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 400 + 153 + 106 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11302400153106.

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, 116360635 + ... + 116457726.

It is an arithmetic number, because the mean of its divisors is an integer number (419073051600).

Almost surely, 211302400153106 is an apocalyptic number.

11302400153106 is an abundant number, since it is smaller than the sum of its proper divisors (15518275149294).

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

11302400153106 is a wasteful number, since it uses less digits than its factorization.

11302400153106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232818432 (or 232818426 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11302400153106 its reverse (60135100420311), we get a palindrome (71437500573417).

The spelling of 11302400153106 in words is "eleven trillion, three hundred two billion, four hundred million, one hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 899 1566 1674 1798 2697 5394 8091 16182 24273 48546 232818361 465636722 698455083 1396910166 2095365249 4190730498 6286095747 6751732469 7217369191 12572191494 13503464938 14434738382 20255197407 21652107573 40510394814 43304215146 60765592221 64956322719 121531184442 129912645438 182296776663 194868968157 209303706539 364593553326 389737936314 418607413078 627911119617 1255822239234 1883733358851 3767466717702 5651200076553 11302400153106