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131421531120 = 243511259119213
BaseRepresentation
bin111101001100101010…
…1010110101111110000
3110120012222210111201120
41322121111112233300
54123122402443440
6140212455302240
712331514403645
oct1723125265760
9416188714646
10131421531120
1150810034540
122157897a980
13c5155515c9
14650a1c3dcc
153642a5cdd0
hex1e99556bf0

131421531120 has 160 divisors (see below), whose sum is σ = 444638398464. Its totient is φ = 31845811200.

The previous prime is 131421531119. The next prime is 131421531181. The reversal of 131421531120 is 21135124131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6830634 + ... + 6849846.

Almost surely, 2131421531120 is an apocalyptic number.

131421531120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131421531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222319199232).

131421531120 is an abundant number, since it is smaller than the sum of its proper divisors (313216867344).

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

131421531120 is a wasteful number, since it uses less digits than its factorization.

131421531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21831 (or 21825 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 131421531120 its reverse (21135124131), we get a palindrome (152556655251).

The spelling of 131421531120 in words is "one hundred thirty-one billion, four hundred twenty-one million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2591 2640 5182 7773 10364 12955 15546 19213 20728 25910 28501 31092 38426 38865 41456 51820 57002 57639 62184 76852 77730 85503 96065 103640 114004 115278 124368 142505 153704 155460 171006 192130 207280 211343 228008 230556 285010 288195 307408 310920 342012 384260 422686 427515 456016 461112 570020 576390 621840 634029 684024 768520 845372 855030 922224 1056715 1140040 1152780 1268058 1368048 1537040 1690744 1710060 2113430 2280080 2305560 2536116 3170145 3381488 3420120 4226860 4611120 5072232 6340290 6840240 8453720 10144464 12680580 16907440 25361160 49780883 50722320 99561766 149342649 199123532 248904415 298685298 398247064 497808830 547589713 597370596 746713245 796494128 995617660 1095179426 1194741192 1493426490 1642769139 1991235320 2190358852 2389482384 2737948565 2986852980 3285538278 3982470640 4380717704 5475897130 5973705960 6571076556 8213845695 8761435408 10951794260 11947411920 13142153112 16427691390 21903588520 26284306224 32855382780 43807177040 65710765560 131421531120