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31321110030 = 2357475131393
BaseRepresentation
bin11101001010111000…
…100011011000001110
32222211211012020122020
4131022320203120032
51003121201010110
622215544031010
72156111020410
oct351270433016
988754166566
1031321110030
1112312a4a601
1260a1462466
132c51cb1802
141731aa29b0
15c34ad8d70
hex74ae2360e

31321110030 has 64 divisors (see below), whose sum is σ = 85930149888. Its totient is φ = 7157376000.

The previous prime is 31321109849. The next prime is 31321110031. The reversal of 31321110030 is 3001112313.

It is a super-2 number, since 2×313211100302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31321109991 and 31321110009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321110031) 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 31 ways as a sum of consecutive naturals, for example, 982014 + ... + 1013406.

It is an arithmetic number, because the mean of its divisors is an integer number (1342658592).

Almost surely, 231321110030 is an apocalyptic number.

31321110030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31321110030 is an abundant number, since it is smaller than the sum of its proper divisors (54609039858).

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

31321110030 is a wasteful number, since it uses less digits than its factorization.

31321110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36161.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31321110030 its reverse (3001112313), we get a palindrome (34322222343).

The spelling of 31321110030 in words is "thirty-one billion, three hundred twenty-one million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 4751 9502 14253 23755 28506 31393 33257 47510 62786 66514 71265 94179 99771 142530 156965 166285 188358 199542 219751 313930 332570 439502 470895 498855 659253 941790 997710 1098755 1318506 2197510 3296265 6592530 149148143 298296286 447444429 745740715 894888858 1044037001 1491481430 2088074002 2237222145 3132111003 4474444290 5220185005 6264222006 10440370010 15660555015 31321110030