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10213321122 = 2323717338849
BaseRepresentation
bin10011000001100001…
…01110100110100010
3222100210011110200200
421200300232212202
5131404102233442
64405242530030
7511044540264
oct114060564642
928323143620
1010213321122
114371176364
121b90506916
13c69c59ba4
146cc611b34
153eb99934c
hex260c2e9a2

10213321122 has 48 divisors (see below), whose sum is σ = 22742623800. Its totient is φ = 3310142976.

The previous prime is 10213321121. The next prime is 10213321133. The reversal of 10213321122 is 22112331201.

10213321122 is a `hidden beast` number, since 10 + 213 + 321 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7301531601 + 2911789521 = 85449^2 + 53961^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10213321095 and 10213321104.

It is not an unprimeable number, because it can be changed into a prime (10213321121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149754 + ... + 1158602.

Almost surely, 210213321122 is an apocalyptic number.

10213321122 is an abundant number, since it is smaller than the sum of its proper divisors (12529302678).

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

10213321122 is a wasteful number, since it uses less digits than its factorization.

10213321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10213321122 its reverse (22112331201), we get a palindrome (32325652323).

The spelling of 10213321122 in words is "ten billion, two hundred thirteen million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1733 3466 5199 8849 10398 15597 17698 26547 31194 53094 64121 79641 128242 159282 192363 327413 384726 577089 654826 982239 1154178 1964478 2946717 5893434 15335317 30670634 46005951 92011902 138017853 276035706 567406729 1134813458 1702220187 3404440374 5106660561 10213321122