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103432878305130 = 235111927701595519
BaseRepresentation
bin10111100001001001010111…
…111110000010111101101010
3111120020002100010111010110110
4113201021113332002331222
5102024121013321231010
61003552224110355150
730533531101241343
oct2741112776027552
9446202303433413
10103432878305130
112aa5870134a550
12b725b997bbab6
1345938a8a922aa
141b7826c6c10ca
15be57d708c120
hex5e1257f82f6a

103432878305130 has 128 divisors (see below), whose sum is σ = 285069802291200. Its totient is φ = 23754021984000.

The previous prime is 103432878305123. The next prime is 103432878305137. The reversal of 103432878305130 is 31503878234301.

It is an interprime number because it is at equal distance from previous prime (103432878305123) and next prime (103432878305137).

It is a self number, because there is not a number n which added to its sum of digits gives 103432878305130.

It is not an unprimeable number, because it can be changed into a prime (103432878305137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173387511 + ... + 173983029.

It is an arithmetic number, because the mean of its divisors is an integer number (2227107830400).

Almost surely, 2103432878305130 is an apocalyptic number.

103432878305130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103432878305130 is an abundant number, since it is smaller than the sum of its proper divisors (181636923986070).

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

103432878305130 is a wasteful number, since it uses less digits than its factorization.

103432878305130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623260.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 103432878305130 in words is "one hundred three trillion, four hundred thirty-two billion, eight hundred seventy-eight million, three hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 27701 55402 83103 138505 166206 277010 304711 415515 526319 595519 609422 831030 914133 1052638 1191038 1523555 1578957 1786557 1828266 2631595 2977595 3047110 3157914 3573114 4570665 5263190 5789509 5955190 6550709 7894785 8932785 9141330 11314861 11579018 13101418 15789570 17368527 17865570 19652127 22629722 28947545 32753545 33944583 34737054 39304254 56574305 57895090 65507090 67889166 86842635 98260635 113148610 124463471 169722915 173685270 196521270 248926942 339445830 373390413 622317355 746780826 1244634710 1866952065 3733904130 16496471819 32992943638 49489415457 82482359095 98978830914 164964718190 181461190009 247447077285 313432964561 362922380018 494894154570 544383570027 626865929122 907305950045 940298893683 1088767140054 1567164822805 1814611900090 1880597787366 2721917850135 3134329645610 3447762610171 4701494468415 5443835700270 6895525220342 9402988936830 10343287830513 17238813050855 20686575661026 34477626101710 51716439152565 103432878305130