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131020213241424 = 24313223993777709
BaseRepresentation
bin11101110010100110000101…
…010001001100011001010000
3122011220102001221012202202010
4131302212011101030121100
5114133113344042211144
61142353504404222520
736411620011161513
oct3562460521143120
9564812057182663
10131020213241424
11388243a6759621
121284071839aa40
1358151cb46a9c0
14244d5aad58d7a
15102320a64d5b9
hex77298544c650

131020213241424 has 80 divisors (see below), whose sum is σ = 364667754214400. Its totient is φ = 40295906016768.

The previous prime is 131020213241377. The next prime is 131020213241501. The reversal of 131020213241424 is 424142312020131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131020213241391 and 131020213241400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45491719 + ... + 48285990.

It is an arithmetic number, because the mean of its divisors is an integer number (4558346927680).

Almost surely, 2131020213241424 is an apocalyptic number.

It is an amenable number.

131020213241424 is an abundant number, since it is smaller than the sum of its proper divisors (233647540972976).

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

131020213241424 is a wasteful number, since it uses less digits than its factorization.

131020213241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93779972 (or 93779966 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131020213241424 its reverse (424142312020131), we get a palindrome (555162525261555).

The spelling of 131020213241424 in words is "one hundred thirty-one trillion, twenty billion, two hundred thirteen million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 2239 4478 6717 8956 13434 17912 26868 29107 35824 53736 58214 87321 107472 116428 174642 232856 349284 465712 698568 1397136 93777709 187555418 281333127 375110836 562666254 750221672 1125332508 1219110217 1500443344 2250665016 2438220434 3657330651 4501330032 4876440868 7314661302 9752881736 14629322604 19505763472 29258645208 58517290416 209968290451 419936580902 629904871353 839873161804 1259809742706 1679746323608 2519619485412 2729587775863 3359492647216 5039238970824 5459175551726 8188763327589 10078477941648 10918351103452 16377526655178 21836702206904 32755053310356 43673404413808 65510106620712 131020213241424