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131134105640 = 235173159105437
BaseRepresentation
bin111101000100000110…
…0111010100000101000
3110112110221221210002102
41322020030322200220
54122030312340030
6140124150552532
712321424335536
oct1721014724050
9415427853072
10131134105640
115068286951a
12214b8668748
13c49ab37165
1464bdd65156
1536276d4c45
hex1e8833a828

131134105640 has 128 divisors (see below), whose sum is σ = 327954355200. Its totient is φ = 46965411840.

The previous prime is 131134105639. The next prime is 131134105799. The reversal of 131134105640 is 46501431131.

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, 1191002 + ... + 1296438.

It is an arithmetic number, because the mean of its divisors is an integer number (2562143400).

Almost surely, 2131134105640 is an apocalyptic number.

131134105640 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 131134105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163977177600).

131134105640 is an abundant number, since it is smaller than the sum of its proper divisors (196820249560).

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

131134105640 is a wasteful number, since it uses less digits than its factorization.

131134105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105555 (or 105551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 131134105640 its reverse (46501431131), we get a palindrome (177635536771).

The spelling of 131134105640 in words is "one hundred thirty-one billion, one hundred thirty-four million, one hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 59 62 68 85 118 124 136 155 170 236 248 295 310 340 472 527 590 620 680 1003 1054 1180 1240 1829 2006 2108 2360 2635 3658 4012 4216 5015 5270 7316 8024 9145 10030 10540 14632 18290 20060 21080 31093 36580 40120 62186 73160 105437 124372 155465 210874 248744 310930 421748 527185 621860 843496 1054370 1243720 1792429 2108740 3268547 3584858 4217480 6220783 6537094 7169716 8962145 12441566 13074188 14339432 16342735 17924290 24883132 26148376 31103915 32685470 35848580 49766264 55565299 62207830 65370940 71697160 105753311 111130598 124415660 130741880 192844273 211506622 222261196 248831320 277826495 385688546 423013244 444522392 528766555 555652990 771377092 846026488 964221365 1057533110 1111305980 1542754184 1928442730 2115066220 2222611960 3278352641 3856885460 4230132440 6556705282 7713770920 13113410564 16391763205 26226821128 32783526410 65567052820 131134105640