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100001023222221 = 3311839697418343
BaseRepresentation
bin10110101111001101001101…
…011101110110000111001101
3111010002000010020200121022000
4112233031031131312013031
5101101404043421102341
6552403500313542513
730030556402322352
oct2657151535660715
9433060106617260
10100001023222221
1129955217651180
12b270a50414a39
1343a5096124094
141a9a10aa86629
15b863c953b8b6
hex5af34d7761cd

100001023222221 has 64 divisors (see below), whose sum is σ = 163582276515840. Its totient is φ = 59870161912320.

The previous prime is 100001023222213. The next prime is 100001023222249. The reversal of 100001023222221 is 122222320100001.

It is not a de Polignac number, because 100001023222221 - 23 = 100001023222213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100001023222194 and 100001023222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001023222021) 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, 238831576 + ... + 239249918.

It is an arithmetic number, because the mean of its divisors is an integer number (2555973070560).

Almost surely, 2100001023222221 is an apocalyptic number.

100001023222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001023222221 is a deficient number, since it is larger than the sum of its proper divisors (63581253293619).

100001023222221 is a wasteful number, since it uses less digits than its factorization.

100001023222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428143 (or 428137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100001023222221 its reverse (122222320100001), we get a palindrome (222223343322222).

The spelling of 100001023222221 in words is "one hundred trillion, one billion, twenty-three million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 83 99 249 297 747 913 2241 2739 8217 9697 24651 29091 87273 106667 261819 320001 418343 804851 960003 1255029 2414553 2880009 3765087 4601773 7243659 8853361 11295261 13805319 21730977 26560083 34722469 41415957 79680249 104167407 124247871 239040747 312502221 381947159 937506663 1145841477 3437524431 4056672071 10312573293 12170016213 36510048639 44623392781 109530145917 133870178343 336703781893 401610535029 1010111345679 1204831605087 3030334037037 3703741600823 9091002111111 11111224802469 33333674407407 100001023222221