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10221020313 = 371747959771
BaseRepresentation
bin10011000010011100…
…00110010010011001
3222101022122121222220
421201032012102121
5131413040122223
64410115534253
7511200145020
oct114116062231
928338577886
1010221020313
114375554929
121b92bba389
13c6b72441a
146cd6578b7
153ec4ba6e3
hex261386499

10221020313 has 32 divisors (see below), whose sum is σ = 16525762560. Its totient is φ = 5485451520.

The previous prime is 10221020311. The next prime is 10221020353. The reversal of 10221020313 is 31302012201.

It is not a de Polignac number, because 10221020313 - 21 = 10221020311 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10221020292 and 10221020301.

It is not an unprimeable number, because it can be changed into a prime (10221020311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141118 + ... + 200888.

It is an arithmetic number, because the mean of its divisors is an integer number (516430080).

Almost surely, 210221020313 is an apocalyptic number.

It is an amenable number.

10221020313 is a deficient number, since it is larger than the sum of its proper divisors (6304742247).

10221020313 is a wasteful number, since it uses less digits than its factorization.

10221020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60277.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10221020313 its reverse (31302012201), we get a palindrome (41523032514).

The spelling of 10221020313 in words is "ten billion, two hundred twenty-one million, twenty thousand, three hundred thirteen".

Divisors: 1 3 7 17 21 51 119 357 479 1437 3353 8143 10059 24429 57001 59771 171003 179313 418397 1016107 1255191 3048321 7112749 21338247 28630309 85890927 200412163 486715253 601236489 1460145759 3407006771 10221020313