Search a number
-
+
31070479328100 = 2232522924321492
BaseRepresentation
bin1110001000010001010001…
…11000100010001101100100
311002000022100010102000101100
413010020220320202031210
513033024320201444400
6150025325310200100
76354524304504012
oct704105070421544
9132008303360340
1031070479328100
119999a09636343
1235998007b3030
131444c1a24a314
14795b67d3d8b2
1538d333c84100
hex1c4228e22364

31070479328100 has 729 divisors, whose sum is σ = 103960608701313. Its totient is φ = 7761273730560.

The previous prime is 31070479328033. The next prime is 31070479328153. The reversal of 31070479328100 is 182397407013.

The square root of 31070479328100 is 5574090.

It is a perfect power (a square), and thus also a powerful number.

31070479328100 is a `hidden beast` number, since 3 + 1 + 0 + 70 + 479 + 3 + 2 + 8 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 29430256101156 + 1640223226944 = 5424966^2 + 1280712^2 .

It is a super-2 number, since 2×310704793281002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 208526706826 + ... + 208526706974.

Almost surely, 231070479328100 is an apocalyptic number.

31070479328100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31070479328100 is the 5574090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31070479328100

31070479328100 is an abundant number, since it is smaller than the sum of its proper divisors (72890129373213).

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

31070479328100 is a wasteful number, since it uses less digits than its factorization.

31070479328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 31070479328100 in words is "thirty-one trillion, seventy billion, four hundred seventy-nine million, three hundred twenty-eight thousand, one hundred".