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131424210204 = 2237101113137087
BaseRepresentation
bin111101001100101111…
…1100100110100011100
3110120020011211121201220
41322121133210310130
54123124044211304
6140213032533340
712331546232460
oct1723137446434
9416204747656
10131424210204
11508115a4361
1221579851250
13c515c7bb71
14650a6c04a0
153642ddbad9
hex1e997e4d1c

131424210204 has 96 divisors (see below), whose sum is σ = 357069275136. Its totient is φ = 36848716800.

The previous prime is 131424210199. The next prime is 131424210217. The reversal of 131424210204 is 402012424131.

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, 890149 + ... + 1027235.

It is an arithmetic number, because the mean of its divisors is an integer number (3719471616).

Almost surely, 2131424210204 is an apocalyptic number.

131424210204 is a gapful number since it is divisible by the number (14) 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 131424210204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178534637568).

131424210204 is an abundant number, since it is smaller than the sum of its proper divisors (225645064932).

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

131424210204 is a wasteful number, since it uses less digits than its factorization.

131424210204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137315 (or 137313 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131424210204 its reverse (402012424131), we get a palindrome (533436634335).

The spelling of 131424210204 in words is "one hundred thirty-one billion, four hundred twenty-four million, two hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 113 202 226 303 339 404 452 606 678 707 791 1212 1356 1414 1582 2121 2373 2828 3164 4242 4746 8484 9492 11413 22826 34239 45652 68478 79891 136956 137087 159782 239673 274174 319564 411261 479346 548348 822522 958692 959609 1645044 1919218 2878827 3838436 5757654 11515308 13845787 15490831 27691574 30981662 41537361 46472493 55383148 61963324 83074722 92944986 96920509 108435817 166149444 185889972 193841018 216871634 290761527 325307451 387682036 433743268 581523054 650614902 1163046108 1301229804 1564573931 3129147862 4693721793 6258295724 9387443586 10952017517 18774887172 21904035034 32856052551 43808070068 65712105102 131424210204