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21000012102 = 2337983127467
BaseRepresentation
bin10011100011101100…
…101100000101000110
32000012112020010222000
4103203230230011012
5321002000341402
613351451050130
71342254105036
oct234354540506
960175203860
1021000012102
1189a6a60a03
1240a0a40946
131c9891a484
1410330378c6
1582d950c1c
hex4e3b2c146

21000012102 has 128 divisors (see below), whose sum is σ = 48306585600. Its totient is φ = 6759855648.

The previous prime is 21000012083. The next prime is 21000012107. The reversal of 21000012102 is 20121000012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000012107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44967673 + ... + 44968139.

It is an arithmetic number, because the mean of its divisors is an integer number (377395200).

Almost surely, 221000012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153292800).

21000012102 is an abundant number, since it is smaller than the sum of its proper divisors (27306573498).

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

21000012102 is a wasteful number, since it uses less digits than its factorization.

21000012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21000012102 its reverse (20121000012), we get a palindrome (41121012114).

The spelling of 21000012102 in words is "twenty-one billion, twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 79 83 127 158 166 237 249 254 381 467 474 498 711 747 762 934 1143 1401 1422 1494 2133 2241 2286 2802 3429 4203 4266 4482 6557 6858 8406 10033 10541 12609 13114 19671 20066 21082 25218 30099 31623 36893 38761 39342 59013 59309 60198 63246 73786 77522 90297 94869 110679 116283 118026 118618 177039 177927 180594 189738 221358 232566 270891 284607 332037 348849 354078 355854 533781 541782 569214 664074 697698 832739 996111 1046547 1067562 1601343 1665478 1992222 2093094 2498217 3062119 3202686 4685411 4922647 4996434 6124238 7494651 9186357 9370822 9845294 14056233 14767941 14989302 18372714 22483953 27559071 28112466 29535882 42168699 44303823 44967906 55118142 82677213 84337398 88607646 126506097 132911469 165354426 253012194 265822938 388889113 777778226 1166667339 2333334678 3500002017 7000004034 10500006051 21000012102