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10132311420 = 22325711731047
BaseRepresentation
bin10010110111110111…
…01100110101111100
3222011010201202021100
421123323230311330
5131222332431140
64353230333100
7506042140350
oct113373546574
928133652240
1010132311420
11432a4755a0
121b6935a190
13c5623505a
146c1965460
153e47e6530
hex25beecd7c

10132311420 has 144 divisors (see below), whose sum is σ = 38318611968. Its totient is φ = 2105412480.

The previous prime is 10132311419. The next prime is 10132311461. The reversal of 10132311420 is 2411323101.

10132311420 is a `hidden beast` number, since 1 + 0 + 13 + 231 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132311393 and 10132311402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351664 + ... + 379383.

It is an arithmetic number, because the mean of its divisors is an integer number (266101472).

Almost surely, 210132311420 is an apocalyptic number.

10132311420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132311420 is an abundant number, since it is smaller than the sum of its proper divisors (28186300548).

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

10132311420 is a wasteful number, since it uses less digits than its factorization.

10132311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731080 (or 731075 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132311420 its reverse (2411323101), we get a palindrome (12543634521).

The spelling of 10132311420 in words is "ten billion, one hundred thirty-two million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 731047 1462094 2193141 2924188 3655235 4386282 5117329 6579423 7310470 8041517 8772564 10234658 10965705 13158846 14620940 15351987 16083034 20469316 21931410 24124551 25586645 26317692 30703974 32166068 32897115 40207585 43862820 46055961 48249102 51173290 56290619 61407948 65794230 72373653 76759935 80415170 92111922 96498204 102346580 112581238 120622755 131588460 144747306 153519870 160830340 168871857 184223844 225162476 230279805 241245510 281453095 289494612 307039740 337743714 361868265 460559610 482491020 506615571 562906190 675487428 723736530 844359285 921119220 1013231142 1125812380 1447473060 1688718570 2026462284 2533077855 3377437140 5066155710 10132311420