Search a number
-
+
102313112832 = 283276343819
BaseRepresentation
bin101111101001001010…
…1100011010100000000
3100210002101011122112100
41133102111203110000
53134014124102312
6115000233030400
710251262052460
oct1372225432400
9323071148470
10102313112832
113a4330a2aa7
12179b4555400
139856ac6268
144d48343ba0
1529dc34b5dc
hex17d2563500

102313112832 has 108 divisors (see below), whose sum is σ = 337135970080. Its totient is φ = 29232313344.

The previous prime is 102313112789. The next prime is 102313112849. The reversal of 102313112832 is 238211313201.

It is a junction number, because it is equal to n+sod(n) for n = 102313112796 and 102313112805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3155782 + ... + 3188037.

Almost surely, 2102313112832 is an apocalyptic number.

102313112832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102313112832 is an abundant number, since it is smaller than the sum of its proper divisors (234822857248).

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

102313112832 is an equidigital number, since it uses as much as digits as its factorization.

102313112832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343848 (or 6343831 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 102313112832 in words is "one hundred two billion, three hundred thirteen million, one hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 6343819 12687638 19031457 25375276 38062914 44406733 50750552 57094371 76125828 88813466 101501104 114188742 133220199 152251656 177626932 203002208 228377484 266440398 304503312 355253864 399660597 406004416 456754968 532880796 609006624 710507728 799321194 812008832 913509936 1065761592 1218013248 1421015456 1598642388 1624017664 1827019872 2131523184 2436026496 2842030912 3197284776 3654039744 4263046368 4872052992 5684061824 6394569552 7308079488 8526092736 11368123648 12789139104 14616158976 17052185472 25578278208 34104370944 51156556416 102313112832