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31213131144 = 23313195265373
BaseRepresentation
bin11101000100011100…
…101001010110001000
32222120022000100110020
4131010130221112020
51002411030144034
622201125420440
72153330144226
oct350434512610
988508010406
1031213131144
1112267aa9458
12607126a720
132c35806390
1417215d5b16
15c2a3aa249
hex744729588

31213131144 has 64 divisors (see below), whose sum is σ = 88458283200. Its totient is φ = 9098562816.

The previous prime is 31213131137. The next prime is 31213131149. The reversal of 31213131144 is 44113131213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31213131149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626759 + ... + 2638614.

It is an arithmetic number, because the mean of its divisors is an integer number (1382160675).

Almost surely, 231213131144 is an apocalyptic number.

It is an amenable number.

31213131144 is an abundant number, since it is smaller than the sum of its proper divisors (57245152056).

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

31213131144 is a wasteful number, since it uses less digits than its factorization.

31213131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265414 (or 5265410 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 31213131144 its reverse (44113131213), we get a palindrome (75326262357).

The spelling of 31213131144 in words is "thirty-one billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 5265373 10530746 15796119 21061492 31592238 42122984 63184476 68449849 100042087 126368952 136899698 200084174 205349547 273799396 300126261 400168348 410699094 547598792 600252522 800336696 821398188 1200505044 1300547131 1642796376 2401010088 2601094262 3901641393 5202188524 7803282786 10404377048 15606565572 31213131144