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131135533100 = 225211132705409
BaseRepresentation
bin111101000100001001…
…0010111000000101100
3110112111001122022012022
41322020102113000230
54122031144024400
6140124241325312
712321442432325
oct1721022270054
9415431568168
10131135533100
1150683653a40
12214b9036838
13c49b216b00
1464c021744c
1536278b7b85
hex1e8849702c

131135533100 has 108 divisors (see below), whose sum is σ = 336150438120. Its totient is φ = 44017459200.

The previous prime is 131135533051. The next prime is 131135533141. The reversal of 131135533100 is 1335531131.

It is a super-2 number, since 2×1311355331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 131135533100.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166805 + ... + 538604.

Almost surely, 2131135533100 is an apocalyptic number.

131135533100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131135533100 is an abundant number, since it is smaller than the sum of its proper divisors (205014905020).

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

131135533100 is a wasteful number, since it uses less digits than its factorization.

131135533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705460 (or 705440 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 26.

The spelling of 131135533100 in words is "one hundred thirty-one billion, one hundred thirty-five million, five hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 169 220 260 275 286 325 338 550 572 650 676 715 845 1100 1300 1430 1690 1859 2860 3380 3575 3718 4225 7150 7436 8450 9295 14300 16900 18590 37180 46475 92950 185900 705409 1410818 2821636 3527045 7054090 7759499 9170317 14108180 15518998 17635225 18340634 31037996 35270450 36681268 38797495 45851585 70540900 77594990 91703170 100873487 119214121 155189980 183406340 193987475 201746974 229257925 238428242 387974950 403493948 458515850 476856484 504367435 596070605 775949900 917031700 1008734870 1192141210 1311355331 2017469740 2384282420 2521837175 2622710662 2980353025 5043674350 5245421324 5960706050 6556776655 10087348700 11921412100 13113553310 26227106620 32783883275 65567766550 131135533100