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1070972031 = 319199263359
BaseRepresentation
bin111111110101011…
…011110001111111
32202122020000102210
4333311123301333
54143132101111
6254134351503
735353053303
oct7765336177
92678200383
101070972031
114aa599158
1225a7bb593
13140b5927c
14a2343d03
15640500a6
hex3fd5bc7f

1070972031 has 32 divisors (see below), whose sum is σ = 1520640000. Its totient is φ = 668577888.

The previous prime is 1070972027. The next prime is 1070972039. The reversal of 1070972031 is 1302790701.

It is not a de Polignac number, because 1070972031 - 22 = 1070972027 is a prime.

It is a super-2 number, since 2×10709720312 = 2293962182368529922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1070972031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070972039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2983030 + ... + 2983388.

It is an arithmetic number, because the mean of its divisors is an integer number (47520000).

Almost surely, 21070972031 is an apocalyptic number.

1070972031 is a deficient number, since it is larger than the sum of its proper divisors (449667969).

1070972031 is a wasteful number, since it uses less digits than its factorization.

1070972031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 1070972031 is about 32725.7090221129. The cubic root of 1070972031 is about 1023.1187483328.

The spelling of 1070972031 in words is "one billion, seventy million, nine hundred seventy-two thousand, thirty-one".

Divisors: 1 3 19 57 199 263 359 597 789 1077 3781 4997 6821 11343 14991 20463 52337 71441 94417 157011 214323 283251 994403 1357379 1793923 2983209 4072137 5381769 18788983 56366949 356990677 1070972031