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22300102122030 = 23251922567577879
BaseRepresentation
bin1010001001000001001011…
…01010100101101000101110
32220221212110110101201110100
411010200211222211220232
510410331102120401110
6115232305301051530
74461062214333225
oct504404552455056
986855413351410
1022300102122030
117118469315997
122601aab0b6ba6
13c59b76881335
1457148b633cbc
1528a124495bc0
hex144825aa5a2e

22300102122030 has 96 divisors (see below), whose sum is σ = 61034668531200. Its totient is φ = 5633450617536.

The previous prime is 22300102122019. The next prime is 22300102122073. The reversal of 22300102122030 is 3022120100322.

It is a super-2 number, since 2×223001021220302 (a number of 27 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 = 22300102121994 and 22300102122012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38300631 + ... + 38878509.

It is an arithmetic number, because the mean of its divisors is an integer number (635777797200).

Almost surely, 222300102122030 is an apocalyptic number.

22300102122030 is an abundant number, since it is smaller than the sum of its proper divisors (38734566409170).

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

22300102122030 is a wasteful number, since it uses less digits than its factorization.

22300102122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600478 (or 600475 counting only the distinct ones).

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

Adding to 22300102122030 its reverse (3022120100322), we get a palindrome (25322222222352).

The spelling of 22300102122030 in words is "twenty-two trillion, three hundred billion, one hundred two million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 22567 45134 67701 112835 135402 203103 225670 338505 406206 428773 577879 677010 857546 1015515 1155758 1286319 1733637 2031030 2143865 2572638 2889395 3467274 3858957 4287730 5200911 5778790 6431595 7717914 8668185 10401822 10979701 12863190 17336370 19294785 21959402 26004555 32939103 38589570 52009110 54898505 65878206 98817309 109797010 164695515 197634618 329391030 494086545 988173090 13040995393 26081990786 39122986179 65204976965 78245972358 117368958537 130409953930 195614930895 234737917074 247778912467 391229861790 495557824934 586844792685 743336737401 1173689585370 1238894562335 1486673474802 2230010212203 2477789124670 3716683687005 4460020424406 7433367374010 11150051061015 22300102122030