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10217031020 = 2257233172991
BaseRepresentation
bin10011000001111101…
…11000010101101100
3222101001010221201022
421200332320111230
5131411024443040
64405454233312
7511121221310
oct114076702554
928331127638
1010217031020
11437327a699
121b917b5838
13c6a9586b1
146cccd9b40
153ebe7d6b5
hex260fb856c

10217031020 has 48 divisors (see below), whose sum is σ = 25587007488. Its totient is φ = 3350677440.

The previous prime is 10217030981. The next prime is 10217031037. The reversal of 10217031020 is 2013071201.

10217031020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10217031020.

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 15 ways as a sum of consecutive naturals, for example, 1583276 + ... + 1589715.

It is an arithmetic number, because the mean of its divisors is an integer number (533062656).

Almost surely, 210217031020 is an apocalyptic number.

10217031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10217031020 is an abundant number, since it is smaller than the sum of its proper divisors (15369976468).

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

10217031020 is a wasteful number, since it uses less digits than its factorization.

10217031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173030 (or 3173028 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The spelling of 10217031020 in words is "ten billion, two hundred seventeen million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 3172991 6345982 12691964 15864955 22210937 31729910 44421874 63459820 72978793 88843748 111054685 145957586 222109370 291915172 364893965 444218740 510851551 729787930 1021703102 1459575860 2043406204 2554257755 5108515510 10217031020