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100211210222011 = 71731436110356413
BaseRepresentation
bin10110110010010000111101…
…100101100111100110111011
3111010211002122112121111101221
4112302100331211213212323
5101113330024304101021
6553044221110452511
730052010131332250
oct2662207545474673
9433732575544357
10100211210222011
1129a26376740069
12b2a572b664137
1343bbb51ab5685
141aa6369a87427
15b8bacbeab241
hex5b243d9679bb

100211210222011 has 64 divisors (see below), whose sum is σ = 130186586382336. Its totient is φ = 75162695731200.

The previous prime is 100211210221979. The next prime is 100211210222041. The reversal of 100211210222011 is 110222012112001.

It is not a de Polignac number, because 100211210222011 - 25 = 100211210221979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211210222041) 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, 4498041 + ... + 14854453.

It is an arithmetic number, because the mean of its divisors is an integer number (2034165412224).

Almost surely, 2100211210222011 is an apocalyptic number.

100211210222011 is a deficient number, since it is larger than the sum of its proper divisors (29975376160325).

100211210222011 is a wasteful number, since it uses less digits than its factorization.

100211210222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356572.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100211210222011 its reverse (110222012112001), we get a palindrome (210433222334012).

The spelling of 100211210222011 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two hundred twenty-two thousand, eleven".

Divisors: 1 7 17 31 43 61 119 217 301 427 527 731 1037 1333 1891 2623 3689 5117 7259 9331 13237 18361 22661 32147 44591 81313 158627 225029 312137 569191 1382321 9676247 10356413 72494891 176059021 321048803 445325759 631741193 1232413147 2247341621 3117280313 4422188351 5457829651 7570537903 10739600281 13805098529 19583976983 27164871299 38204807557 52993765321 75177201967 96635689703 137087838881 190154099093 234686674993 332927608711 461802812083 842111010269 1642806724951 2330493260977 3232619684581 5894777071883 14315887174573 100211210222011