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10131422043040 = 2556171021100517
BaseRepresentation
bin1001001101101110011111…
…0011111101101110100000
31022212112222012222202202221
42103123213303331232200
52311443123020334130
633314151103320424
72063654040312604
oct223334763755640
938775865882687
1010131422043040
113256791688131
1211776548b0114
13586509828b2c
14270513407504
1512881ca5287a
hex936e7cfdba0

10131422043040 has 96 divisors (see below), whose sum is σ = 23997997823184. Its totient is φ = 4041997639680.

The previous prime is 10131422043007. The next prime is 10131422043107. The reversal of 10131422043040 is 4034022413101.

It can be written as a sum of positive squares in 8 ways, for example, as 180703208464 + 9950718834576 = 425092^2 + 3154476^2 .

It is a super-2 number, since 2×101314220430402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131422042996 and 10131422043014.

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, 100742862 + ... + 100843378.

Almost surely, 210131422043040 is an apocalyptic number.

10131422043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131422043040 is an abundant number, since it is smaller than the sum of its proper divisors (13866575780144).

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

10131422043040 is a wasteful number, since it uses less digits than its factorization.

10131422043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102170 (or 102162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10131422043040 its reverse (4034022413101), we get a palindrome (14165444456141).

The spelling of 10131422043040 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty-two million, forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 617 1021 1234 2042 2468 3085 4084 4936 5105 6170 8168 9872 10210 12340 16336 19744 20420 24680 32672 40840 49360 81680 98720 100517 163360 201034 402068 502585 629957 804136 1005170 1259914 1608272 2010340 2519828 3149785 3216544 4020680 5039656 6299570 8041360 10079312 12599140 16082720 20158624 25198280 50396560 62018989 100793120 102627857 124037978 205255714 248075956 310094945 410511428 496151912 513139285 620189890 821022856 992303824 1026278570 1240379780 1642045712 1984607648 2052557140 2480759560 3284091424 4105114280 4961519120 8210228560 9923038240 16420457120 63321387769 126642775538 253285551076 316606938845 506571102152 633213877690 1013142204304 1266427755380 2026284408608 2532855510760 5065711021520 10131422043040