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102201100024 = 23234364320089
BaseRepresentation
bin101111100101110101…
…0010000011011111000
3100202210120101210211211
41133023222100123320
53133301440200044
6114541152132504
710245432005512
oct1371352203370
9322716353754
10102201100024
113a385947131
1217982b37134
1398398379aa
144d37506bb2
1529d25c2634
hex17cba906f8

102201100024 has 64 divisors (see below), whose sum is σ = 204937286400. Its totient is φ = 47665449216.

The previous prime is 102201100013. The next prime is 102201100091. The reversal of 102201100024 is 420001102201.

It is a happy number.

It is a super-2 number, since 2×1022011000242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201099977 and 102201100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5077372 + ... + 5097460.

It is an arithmetic number, because the mean of its divisors is an integer number (3202145100).

Almost surely, 2102201100024 is an apocalyptic number.

It is an amenable number.

102201100024 is an abundant number, since it is smaller than the sum of its proper divisors (102736186376).

102201100024 is a wasteful number, since it uses less digits than its factorization.

102201100024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20804 (or 20800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102201100024 its reverse (420001102201), we get a palindrome (522202202225).

The spelling of 102201100024 in words is "one hundred two billion, two hundred one million, one hundred thousand, twenty-four".

Divisors: 1 2 4 8 23 43 46 86 92 172 184 344 643 989 1286 1978 2572 3956 5144 7912 14789 20089 27649 29578 40178 55298 59156 80356 110596 118312 160712 221192 462047 635927 863827 924094 1271854 1727654 1848188 2543708 3455308 3696376 5087416 6910616 12917227 19868021 25834454 39736042 51668908 79472084 103337816 158944168 297096221 555440761 594192442 1110881522 1188384884 2221763044 2376769768 4443526088 12775137503 25550275006 51100550012 102201100024