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631124102122140 = 2235113130846730309
BaseRepresentation
bin1000111110000000010000011…
…1111010101000101010011100
310001202121212121211001100212110
42033200010013322220222130
51130210314130120402030
610114142224313234020
7246636132412225524
oct21740040772505234
93052555554040773
10631124102122140
111731062573050a0
125a9500b4a02910
1321120994227b73
14b1bc7d8b02684
154ce6ebd8ac1b0
hex23e0107ea8a9c

631124102122140 has 96 divisors (see below), whose sum is σ = 1989984265758720. Its totient is φ = 148064305478400.

The previous prime is 631124102122121. The next prime is 631124102122141. The reversal of 631124102122140 is 41221201421136.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 631124102122098 and 631124102122107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631124102122141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15423344695 + ... + 15423385614.

It is an arithmetic number, because the mean of its divisors is an integer number (20729002768320).

Almost surely, 2631124102122140 is an apocalyptic number.

631124102122140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631124102122140 is an abundant number, since it is smaller than the sum of its proper divisors (1358860163636580).

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

631124102122140 is a wasteful number, since it uses less digits than its factorization.

631124102122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30846730363 (or 30846730361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 631124102122140 its reverse (41221201421136), we get a palindrome (672345303543276).

The spelling of 631124102122140 in words is "six hundred thirty-one trillion, one hundred twenty-four billion, one hundred two million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 30846730309 61693460618 92540190927 123386921236 154233651545 185080381854 308467303090 339314033399 370160763708 462700954635 616934606180 678628066798 925401909270 956248639579 1017942100197 1357256133596 1696570166995 1850803818540 1912497279158 2035884200394 2868745918737 3393140333990 3824994558316 4071768400788 4781243197895 5089710500985 5737491837474 6786280667980 9562486395790 10179421001970 10518735035369 11474983674948 14343729593685 19124972791580 20358842003940 21037470070738 28687459187370 31556205106107 42074940141476 52593675176845 57374918374740 63112410212214 105187350353690 126224820424428 157781025530535 210374700707380 315562051061070 631124102122140