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100200102002022 = 23117173292915949
BaseRepresentation
bin10110110010000110100111…
…011111000111110101100110
3111010210000222101112110020210
4112302012213133013311212
5101113134302103031042
6553035142535040250
730051134636120241
oct2662064737076546
9433700871473223
10100200102002022
1129a21696406a70
12b2a354b510086
1343baaa1629c39
141aa59d4686258
15b8b67bb91a9c
hex5b21a77c7d66

100200102002022 has 64 divisors (see below), whose sum is σ = 224734490150400. Its totient is φ = 29525927558400.

The previous prime is 100200102001943. The next prime is 100200102002027. The reversal of 100200102002022 is 220200201002001.

It is a super-2 number, since 2×1002001020020222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100200102001989 and 100200102002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200102002027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146115897 + ... + 146800052.

It is an arithmetic number, because the mean of its divisors is an integer number (3511476408600).

Almost surely, 2100200102002022 is an apocalyptic number.

100200102002022 is an abundant number, since it is smaller than the sum of its proper divisors (124534388148378).

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

100200102002022 is a wasteful number, since it uses less digits than its factorization.

100200102002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292916109.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100200102002022 its reverse (220200201002001), we get a palindrome (320400303004023).

The spelling of 100200102002022 in words is "one hundred trillion, two hundred billion, one hundred two million, two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 73 142 146 213 219 426 438 781 803 1562 1606 2343 2409 4686 4818 5183 10366 15549 31098 57013 114026 171039 342078 292915949 585831898 878747847 1757495694 3222075439 6444150878 9666226317 19332452634 20797032379 21382864277 41594064758 42765728554 62391097137 64148592831 124782194274 128297185662 228767356169 235211507047 457534712338 470423014094 686302068507 705634521141 1372604137014 1411269042282 1518183363667 3036366727334 4554550091001 9109100182002 16700017000337 33400034000674 50100051001011 100200102002022