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131303123100 = 223252295030771
BaseRepresentation
bin111101001001001000…
…1101010100010011100
3110112220201222202110100
41322102101222202130
54122402044414400
6140153025341100
712325546063032
oct1722221524234
9415821882410
10131303123100
115075a20a876
1221545197790
13c4c6b641a6
1464d85a0552
15363746e100
hex1e9246a89c

131303123100 has 108 divisors (see below), whose sum is σ = 425754234360. Its totient is φ = 33806774400.

The previous prime is 131303123089. The next prime is 131303123123. The reversal of 131303123100 is 1321303131.

It is a happy number.

131303123100 is a `hidden beast` number, since 13 + 1 + 30 + 312 + 310 + 0 = 666.

It is a super-2 number, since 2×1313031231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2489286 + ... + 2541485.

Almost surely, 2131303123100 is an apocalyptic number.

131303123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303123100 is an abundant number, since it is smaller than the sum of its proper divisors (294451111260).

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

131303123100 is a wasteful number, since it uses less digits than its factorization.

131303123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030820 (or 5030810 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131303123100 its reverse (1321303131), we get a palindrome (132624426231).

The spelling of 131303123100 in words is "one hundred thirty-one billion, three hundred three million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 5030771 10061542 15092313 20123084 25153855 30184626 45276939 50307710 60369252 75461565 90553878 100615420 125769275 145892359 150923130 181107756 226384695 251538550 291784718 301846260 377307825 437677077 452769390 503077100 583569436 729461795 754615650 875354154 905538780 1131923475 1313031231 1458923590 1509231300 1750708308 2188385385 2263846950 2626062462 2917847180 3647308975 4376770770 4527693900 5252124924 6565156155 7294617950 8753541540 10941926925 13130312310 14589235900 21883853850 26260624620 32825780775 43767707700 65651561550 131303123100