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202211212100001 = 313217431039525127
BaseRepresentation
bin101101111110100011110111…
…011101111000000110100001
3222111222012111001022021202220
4231332203313131320012201
5203001012030244200001
61554022314242501253
760410164225124016
oct5576436735700641
9874865431267686
10202211212100001
115948132565aa85
121a819a79964829
1388aa58799c700
1437d11096b770d
151859e9e9c9c36
hexb7e8f77781a1

202211212100001 has 96 divisors (see below), whose sum is σ = 316617399521280. Its totient is φ = 114283818335232.

The previous prime is 202211212099997. The next prime is 202211212100033. The reversal of 202211212100001 is 100001212112202.

It is not a de Polignac number, because 202211212100001 - 22 = 202211212099997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202211212100041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384808500 + ... + 385333626.

It is an arithmetic number, because the mean of its divisors is an integer number (3298097911680).

Almost surely, 2202211212100001 is an apocalyptic number.

It is an amenable number.

202211212100001 is a deficient number, since it is larger than the sum of its proper divisors (114406187421279).

202211212100001 is a wasteful number, since it uses less digits than its factorization.

202211212100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526255 (or 526242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202211212100001 its reverse (100001212112202), we get a palindrome (302212424212203).

The spelling of 202211212100001 in words is "two hundred two trillion, two hundred eleven billion, two hundred twelve million, one hundred thousand, one".

Divisors: 1 3 13 17 39 43 51 129 169 221 507 559 663 731 1039 1677 2193 2873 3117 7267 8619 9503 13507 17663 21801 28509 40521 44677 52989 123539 134031 175591 229619 370617 525127 526773 580801 688857 759509 1575381 1742403 2278527 2985047 6826651 7550413 8927159 8955141 9873617 20479953 22580461 22651239 26781477 29620851 67741383 88746463 116053067 128357021 266239389 293545993 348159201 383867837 385071063 545606953 880637979 1151603511 1508689871 1636820859 3816097909 4526069613 4990281881 7092890389 9275318201 11448293727 14970845643 21278671167 23461098979 27825954603 64873664453 70383296937 92207575057 120579136613 194620993359 276622725171 304994286727 361737409839 398838682643 914982860181 1196516047929 1567528775969 3964925727451 4702586327907 5184902874359 11894777182353 15554708623077 67403737366667 202211212100001