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21230032122 = 2341315236619
BaseRepresentation
bin10011110001011010…
…001001010011111010
32000210120001101010000
4103301122021103322
5321434342011442
613430345133430
71351046203245
oct236132112372
960716041100
1021230032122
1190048883a2
124145a8a276
1320044858b0
1410557d225c
15843c39d4c
hex4f16894fa

21230032122 has 80 divisors (see below), whose sum is σ = 51271688160. Its totient is φ = 6527042208.

The previous prime is 21230032099. The next prime is 21230032141. The reversal of 21230032122 is 22123003212.

21230032122 is a `hidden beast` number, since 21 + 2 + 300 + 321 + 22 = 666.

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 = 21230032095 and 21230032104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3204129 + ... + 3210747.

It is an arithmetic number, because the mean of its divisors is an integer number (640896102).

Almost surely, 221230032122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21230032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25635844080).

21230032122 is an abundant number, since it is smaller than the sum of its proper divisors (30041656038).

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

21230032122 is a wasteful number, since it uses less digits than its factorization.

21230032122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8169 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21230032122 its reverse (22123003212), we get a palindrome (43353035334).

It can be divided in two parts, 2123003212 and 2, that multiplied together give a palindrome (4246006424).

The spelling of 21230032122 in words is "twenty-one billion, two hundred thirty million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1523 2106 3046 4569 6619 9138 13238 13707 19799 19857 27414 39598 39714 41121 59397 59571 82242 86047 118794 119142 123363 172094 178191 178713 246726 258141 356382 357426 516282 534573 536139 774423 1069146 1072278 1548846 1603719 2323269 3207438 4646538 6969807 10080737 13939614 20161474 30242211 60484422 90726633 131049581 181453266 262099162 272179899 393148743 544359798 786297486 816539697 1179446229 1633079394 2358892458 3538338687 7076677374 10615016061 21230032122