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2131130320 = 2451123711483
BaseRepresentation
bin111111100000110…
…0111011111010000
312111112002122012121
41333001213133100
513331032132240
6551245304024
7103545210634
oct17701473720
95445078177
102131130320
119a3a70830
124b5865014
1327c69a477
14163070dc4
15c716604a
hex7f0677d0

2131130320 has 160 divisors (see below), whose sum is σ = 5723633664. Its totient is φ = 730329600.

The previous prime is 2131130311. The next prime is 2131130333. The reversal of 2131130320 is 230311312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2131130294 and 2131130303.

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, 1436299 + ... + 1437781.

Almost surely, 22131130320 is an apocalyptic number.

2131130320 is a gapful number since it is divisible by the number (20) 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 2131130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861816832).

2131130320 is an abundant number, since it is smaller than the sum of its proper divisors (3592503344).

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

2131130320 is a wasteful number, since it uses less digits than its factorization.

2131130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2131130320 is about 46164.1670562786. The cubic root of 2131130320 is about 1286.8759047740.

Adding to 2131130320 its reverse (230311312), we get a palindrome (2361441632).

The spelling of 2131130320 in words is "two billion, one hundred thirty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 71 80 88 92 110 115 142 176 184 220 230 253 284 355 368 440 460 506 568 710 781 880 920 1012 1136 1265 1420 1483 1562 1633 1840 2024 2530 2840 2966 3124 3266 3905 4048 5060 5680 5932 6248 6532 7415 7810 8165 10120 11864 12496 13064 14830 15620 16313 16330 17963 20240 23728 26128 29660 31240 32626 32660 34109 35926 59320 62480 65252 65320 68218 71852 81565 89815 105293 118640 130504 130640 136436 143704 163130 170545 179630 210586 261008 272872 287408 326260 341090 359260 375199 421172 526465 545744 652520 682180 718520 750398 842344 1052930 1158223 1305040 1364360 1437040 1500796 1684688 1875995 2105860 2316446 2421739 2728720 3001592 3751990 4211720 4632892 4843478 5791115 6003184 7503980 8423440 9265784 9686956 11582230 12108695 15007960 18531568 19373912 23164460 24217390 26639129 30015920 38747824 46328920 48434780 53278258 92657840 96869560 106556516 133195645 193739120 213113032 266391290 426226064 532782580 1065565160 2131130320