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131234200420 = 225197125119379
BaseRepresentation
bin111101000111000101…
…0101111101101100100
3110112201221022010022111
41322032022233231210
54122231423403140
6140142124210404
712324051204211
oct1721612575544
9415657263274
10131234200420
1150724315184
1221526099a04
13c4b57b1b3b
1464cd37cb08
1536313a77ea
hex1e8e2afb64

131234200420 has 96 divisors (see below), whose sum is σ = 295369804800. Its totient is φ = 48832560000.

The previous prime is 131234200381. The next prime is 131234200451. The reversal of 131234200420 is 24002432131.

It is a junction number, because it is equal to n+sod(n) for n = 131234200391 and 131234200400.

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, 6762291 + ... + 6781669.

It is an arithmetic number, because the mean of its divisors is an integer number (3076768800).

Almost surely, 2131234200420 is an apocalyptic number.

131234200420 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 131234200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147684902400).

131234200420 is an abundant number, since it is smaller than the sum of its proper divisors (164135604380).

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

131234200420 is a wasteful number, since it uses less digits than its factorization.

131234200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19729 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131234200420 its reverse (24002432131), we get a palindrome (155236632551).

The spelling of 131234200420 in words is "one hundred thirty-one billion, two hundred thirty-four million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 251 284 355 380 502 710 1004 1255 1349 1420 2510 2698 4769 5020 5396 6745 9538 13490 17821 19076 19379 23845 26980 35642 38758 47690 71284 77516 89105 95380 96895 178210 193790 338599 356420 368201 387580 677198 736402 1354396 1375909 1472804 1692995 1841005 2751818 3385990 3682010 4864129 5503636 6771980 6879545 7364020 9728258 13759090 19456516 24320645 26142271 27518180 48641290 52284542 92418451 97282580 104569084 130711355 184836902 261422710 345353159 369673804 462092255 522845420 690706318 924184510 1381412636 1726765795 1848369020 3453531590 6561710021 6907063180 13123420042 26246840084 32808550105 65617100210 131234200420