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31042430120 = 2351388367607
BaseRepresentation
bin11100111010010001…
…011110010010101000
32222010101210211200002
4130322101132102220
51002033330230440
622132151002132
72146155205502
oct347221362250
988111724602
1031042430120
111218a708229
126024069348
132c09339c60
141706a7cd72
15c1a3dc115
hex73a45e4a8

31042430120 has 64 divisors (see below), whose sum is σ = 75304494720. Its totient is φ = 11448670464.

The previous prime is 31042430113. The next prime is 31042430129. The reversal of 31042430120 is 2103424013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31042430092 and 31042430101.

It is not an unprimeable number, because it can be changed into a prime (31042430129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425357 + ... + 492963.

It is an arithmetic number, because the mean of its divisors is an integer number (1176632730).

Almost surely, 231042430120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31042430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37652247360).

31042430120 is an abundant number, since it is smaller than the sum of its proper divisors (44262064600).

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

31042430120 is a wasteful number, since it uses less digits than its factorization.

31042430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68514 (or 68510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31042430120 its reverse (2103424013), we get a palindrome (33145854133).

The spelling of 31042430120 in words is "thirty-one billion, forty-two million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 883 1766 3532 4415 7064 8830 11479 17660 22958 35320 45916 57395 67607 91832 114790 135214 229580 270428 338035 459160 540856 676070 878891 1352140 1757782 2704280 3515564 4394455 7031128 8788910 17577820 35155640 59696981 119393962 238787924 298484905 477575848 596969810 776060753 1193939620 1552121506 2387879240 3104243012 3880303765 6208486024 7760607530 15521215060 31042430120