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31301140415130 = 232515112291874083
BaseRepresentation
bin1110001110111110111010…
…10110110000001010011010
311002211100201021221022011200
413013133131112300022122
513100314213421241010
6150323313445535030
76410301303421215
oct707373526601232
9132740637838150
1031301140415130
119a78814821a93
123616454714476
1314608b9897b31
147a2daa19477c
15394333db9cc0
hex1c77dd5b029a

31301140415130 has 96 divisors (see below), whose sum is σ = 81988626245760. Its totient is φ = 8284941705600.

The previous prime is 31301140415117. The next prime is 31301140415137. The reversal of 31301140415130 is 3151404110313.

31301140415130 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 1 + 140 + 4 + 1 + 513 + 0 = 666.

It is a super-3 number, since 3×313011404151303 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31301140415094 and 31301140415103.

It is not an unprimeable number, because it can be changed into a prime (31301140415137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15765069 + ... + 17639151.

It is an arithmetic number, because the mean of its divisors is an integer number (854048190060).

Almost surely, 231301140415130 is an apocalyptic number.

31301140415130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31301140415130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40994313122880).

31301140415130 is an abundant number, since it is smaller than the sum of its proper divisors (50687485830630).

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

31301140415130 is a wasteful number, since it uses less digits than its factorization.

31301140415130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875476 (or 1875473 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 31301140415130 its reverse (3151404110313), we get a palindrome (34452544525443).

The spelling of 31301140415130 in words is "thirty-one trillion, three hundred one billion, one hundred forty million, four hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1229 1359 1510 2265 2458 2718 3687 4530 6145 6795 7374 11061 12290 13590 18435 22122 36870 55305 110610 185579 371158 556737 927895 1113474 1670211 1855790 1874083 2783685 3340422 3748166 5567370 5622249 8351055 9370415 11244498 16702110 16866747 18740830 28111245 33733494 56222490 84333735 168667470 282986533 565973066 848959599 1414932665 1697919198 2303248007 2546878797 2829865330 4244797995 4606496014 5093757594 6909744021 8489595990 11516240035 12734393985 13819488042 20729232063 23032480070 25468787970 34548720105 41458464126 69097440210 103646160315 207292320630 347790449057 695580898114 1043371347171 1738952245285 2086742694342 3130114041513 3477904490570 5216856735855 6260228083026 10433713471710 15650570207565 31301140415130