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1131512140 = 2251122329701
BaseRepresentation
bin100001101110001…
…1000000101001100
32220212010202212001
41003130120011030
54304131342030
6304140122044
740016460133
oct10334300514
92825122761
101131512140
11530788900
12276b36324
13150565015
14aa3c291a
156950ccca
hex4371814c

1131512140 has 144 divisors (see below), whose sum is σ = 2823387840. Its totient is φ = 379456000.

The previous prime is 1131512113. The next prime is 1131512159. The reversal of 1131512140 is 412151311.

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, 1613790 + ... + 1614490.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 21131512140 is an apocalyptic number.

1131512140 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 1131512140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411693920).

1131512140 is an abundant number, since it is smaller than the sum of its proper divisors (1691875700).

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

1131512140 is a wasteful number, since it uses less digits than its factorization.

1131512140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1131512140 is about 33637.9568345047. The cubic root of 1131512140 is about 1042.0448365439.

Adding to 1131512140 its reverse (412151311), we get a palindrome (1543663451).

The spelling of 1131512140 in words is "one billion, one hundred thirty-one million, five hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 121 145 220 230 242 253 290 319 460 484 506 580 605 638 667 701 1012 1210 1265 1276 1334 1402 1595 2420 2530 2668 2783 2804 3190 3335 3505 3509 5060 5566 6380 6670 7010 7018 7337 7711 11132 13340 13915 14020 14036 14674 15422 16123 17545 20329 27830 29348 30844 32246 35090 36685 38555 40658 55660 64492 70180 73370 77110 80615 80707 81316 84821 101645 146740 154220 161230 161414 169642 177353 203290 223619 322460 322828 339284 354706 403535 406580 424105 447238 467567 709412 807070 848210 886765 894476 935134 1118095 1614140 1696420 1773530 1870268 1950883 2236190 2337835 2459809 3547060 3901766 4472380 4675670 4919618 5143237 7803532 9351340 9754415 9839236 10286474 12299045 19508830 20572948 24598090 25716185 39017660 49196180 51432370 56575607 102864740 113151214 226302428 282878035 565756070 1131512140