Search a number
-
+
102896722152 = 23327832459761
BaseRepresentation
bin101111111010100011…
…1110110000011101000
3100211121001100002000100
41133311013312003220
53141213030102102
6115134201505400
710301606464410
oct1376507660350
9324531302010
10102896722152
113a702576354
1217b37aa2260
13991a9a3513
144da1a61640
152a236cca1c
hex17f51f60e8

102896722152 has 96 divisors (see below), whose sum is σ = 322327212480. Its totient is φ = 29044846080.

The previous prime is 102896722141. The next prime is 102896722153. The reversal of 102896722152 is 251227698201.

It is a super-2 number, since 2×1028967221522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102896722098 and 102896722107.

It is not an unprimeable number, because it can be changed into a prime (102896722153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188049 + ... + 1271712.

It is an arithmetic number, because the mean of its divisors is an integer number (3357575130).

Almost surely, 2102896722152 is an apocalyptic number.

102896722152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102896722152 is an abundant number, since it is smaller than the sum of its proper divisors (219430490328).

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

102896722152 is a wasteful number, since it uses less digits than its factorization.

102896722152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459863 (or 2459856 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 102896722152 in words is "one hundred two billion, eight hundred ninety-six million, seven hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832 2459761 4919522 7379283 9839044 14758566 17218327 19678088 22137849 29517132 34436654 44275698 51654981 59034264 68873308 88551396 103309962 137746616 154964943 177102792 204160163 206619924 309929886 408320326 413239848 612480489 619859772 816640652 1224960978 1239719544 1429121141 1633281304 1837441467 2449921956 2858242282 3674882934 4287363423 4899843912 5716484564 7349765868 8574726846 11432969128 12862090269 14699531736 17149453692 25724180538 34298907384 51448361076 102896722152