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21003431022 = 23271929532971
BaseRepresentation
bin10011100011111001…
…101110110001101110
32000012202122211211200
4103203321232301232
5321003334243042
613352052230330
71342325134530
oct234371566156
960182584750
1021003431022
1189a8986662
1240a200b3a6
131c995466c2
141033687850
1582ddc8c4c
hex4e3e6ec6e

21003431022 has 96 divisors (see below), whose sum is σ = 54782757120. Its totient is φ = 5681301120.

The previous prime is 21003431011. The next prime is 21003431027. The reversal of 21003431022 is 22013430012.

21003431022 is a `hidden beast` number, since 210 + 0 + 3 + 431 + 0 + 22 = 666.

It is a super-2 number, since 2×210034310222 (a number of 21 digits) contains 22 as substring.

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 = 21003430986 and 21003431004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003431027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7067997 + ... + 7070967.

It is an arithmetic number, because the mean of its divisors is an integer number (570653720).

Almost surely, 221003431022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003431022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27391378560).

21003431022 is an abundant number, since it is smaller than the sum of its proper divisors (33779326098).

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

21003431022 is a wasteful number, since it uses less digits than its factorization.

21003431022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5955 counting only the distinct ones).

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

Adding to 21003431022 its reverse (22013430012), we get a palindrome (43016861034).

The spelling of 21003431022 in words is "twenty-one billion, three million, four hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 2953 2971 5906 5942 8859 8913 17718 17826 20671 20797 26577 26739 41342 41594 53154 53478 56107 56449 62013 62391 112214 112898 124026 124782 168321 169347 186039 187173 336642 338694 372078 374346 392749 395143 504963 508041 785498 790286 1009926 1016082 1178247 1185429 2356494 2370858 3534741 3556287 7069482 7112574 8773363 17546726 26320089 52640178 61413541 78960267 122827082 157920534 166693897 184240623 333387794 368481246 500081691 552721869 1000163382 1105443738 1166857279 1500245073 2333714558 3000490146 3500571837 7001143674 10501715511 21003431022