Search a number
-
+
131045525544120 = 233511153836453677
BaseRepresentation
bin11101110010111101101001…
…111111111101110010111000
3122011222211101222202222022120
4131302331221333331302320
5114134022214014402440
61142413252222521240
736413504200202415
oct3562755177756270
9564884358688276
10131045525544120
1138834105902250
1212845601436220
1358177035bb9c5
1424508cc99910c
151023bdc95edd0
hex772f69ffdcb8

131045525544120 has 128 divisors (see below), whose sum is σ = 428904211760640. Its totient is φ = 31766542154240.

The previous prime is 131045525544119. The next prime is 131045525544173. The reversal of 131045525544120 is 21445525540131.

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, 17078722 + ... + 23532398.

It is an arithmetic number, because the mean of its divisors is an integer number (3350814154380).

Almost surely, 2131045525544120 is an apocalyptic number.

131045525544120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131045525544120 is an abundant number, since it is smaller than the sum of its proper divisors (297858686216520).

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

131045525544120 is a wasteful number, since it uses less digits than its factorization.

131045525544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469085 (or 6469081 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 131045525544120 in words is "one hundred thirty-one trillion, forty-five billion, five hundred twenty-five million, five hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 15383 30766 46149 61532 76915 92298 123064 153830 169213 184596 230745 307660 338426 369192 461490 507639 615320 676852 846065 922980 1015278 1353704 1692130 1845960 2030556 2538195 3384260 4061112 5076390 6453677 6768520 10152780 12907354 19361031 20305560 25814708 32268385 38722062 51629416 64536770 70990447 77444124 96805155 129073540 141980894 154888248 193610310 212971341 258147080 283961788 354952235 387220620 425942682 567923576 709904470 774441240 851885364 1064856705 1419808940 1703770728 2129713410 2839617880 4259426820 8518853640 99276913291 198553826582 297830739873 397107653164 496384566455 595661479746 794215306328 992769132910 1092046046201 1191322959492 1489153699365 1985538265820 2184092092402 2382645918984 2978307398730 3276138138603 3971076531640 4368184184804 5460230231005 5956614797460 6552276277206 8736368369608 10920460462010 11913229594920 13104552554412 16380690693015 21840920924020 26209105108824 32761381386030 43681841848040 65522762772060 131045525544120