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21112100310 = 2357230374729
BaseRepresentation
bin10011101010011000…
…010001010111010110
32000111100010211002010
4103222120101113112
5321214144202220
613410533325050
71345114614600
oct235230212726
960440124063
1021112100310
118a54259494
124112496786
131cb5c04162
141043c94170
158386e21e0
hex4ea6115d6

21112100310 has 96 divisors (see below), whose sum is σ = 58973412960. Its totient is φ = 4823013888.

The previous prime is 21112100309. The next prime is 21112100341. The reversal of 21112100310 is 1300121112.

It is a super-2 number, since 2×211121003102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4462026 + ... + 4466754.

It is an arithmetic number, because the mean of its divisors is an integer number (614306385).

Almost surely, 221112100310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29486706480).

21112100310 is an abundant number, since it is smaller than the sum of its proper divisors (37861312650).

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

21112100310 is a wasteful number, since it uses less digits than its factorization.

21112100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21112100310 its reverse (1300121112), we get a palindrome (22412221422).

The spelling of 21112100310 in words is "twenty-one billion, one hundred twelve million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 3037 4729 6074 9111 9458 14187 15185 18222 21259 23645 28374 30370 33103 42518 45555 47290 63777 66206 70935 91110 99309 106295 127554 141870 148813 165515 198618 212590 231721 297626 318885 331030 446439 463442 496545 637770 695163 744065 892878 993090 1158605 1390326 1488130 2232195 2317210 3475815 4464390 6951630 14361973 28723946 43085919 71809865 86171838 100533811 143619730 201067622 215429595 301601433 430859190 502669055 603202866 703736677 1005338110 1407473354 1508007165 2111210031 3016014330 3518683385 4222420062 7037366770 10556050155 21112100310