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102124004320 = 25513311583809
BaseRepresentation
bin101111100011100010…
…0001010001111100000
3100202121012022221102101
41133013010022033200
53133122221114240
6114525355500144
710243504466632
oct1370704121740
9322535287371
10102124004320
113a346379a78
1217961157654
139826883530
144d2b198a52
1529ca94439a
hex17c710a3e0

102124004320 has 96 divisors (see below), whose sum is σ = 268208720640. Its totient is φ = 36490936320.

The previous prime is 102124004309. The next prime is 102124004327. The reversal of 102124004320 is 23400421201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124004327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727425 + ... + 856384.

It is an arithmetic number, because the mean of its divisors is an integer number (2793840840).

Almost surely, 2102124004320 is an apocalyptic number.

102124004320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102124004320 is an abundant number, since it is smaller than the sum of its proper divisors (166084716320).

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

102124004320 is a wasteful number, since it uses less digits than its factorization.

102124004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583868 (or 1583860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102124004320 its reverse (23400421201), we get a palindrome (125524425521).

The spelling of 102124004320 in words is "one hundred two billion, one hundred twenty-four million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 2015 2080 2480 3224 4030 4960 6448 8060 12896 16120 32240 64480 1583809 3167618 6335236 7919045 12670472 15838090 20589517 25340944 31676180 41179034 49098079 50681888 63352360 82358068 98196158 102947585 126704720 164716136 196392316 205895170 245490395 253409440 329432272 392784632 411790340 490980790 638275027 658864544 785569264 823580680 981961580 1276550054 1571138528 1647161360 1963923160 2553100108 3191375135 3294322720 3927846320 5106200216 6382750270 7855692640 10212400432 12765500540 20424800864 25531001080 51062002160 102124004320