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100220202210212 = 227219151178225013
BaseRepresentation
bin10110110010011001010101…
…100011010101001110100100
3111010211221212012121211021222
4112302121111203111032210
5101114001433231211322
6553052305244155512
730052446016064300
oct2662312543251644
9433757765554258
10100220202210212
1129a2a170459977
12b2a741ab38b98
1343bc9559bc056
141aa697ddb4d00
15b8be56603e42
hex5b26558d53a4

100220202210212 has 72 divisors (see below), whose sum is σ = 216179812981440. Its totient is φ = 40421432721600.

The previous prime is 100220202210209. The next prime is 100220202210217. The reversal of 100220202210212 is 212012202022001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100220202210217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88550183 + ... + 89674830.

It is an arithmetic number, because the mean of its divisors is an integer number (3002497402520).

Almost surely, 2100220202210212 is an apocalyptic number.

It is an amenable number.

100220202210212 is an abundant number, since it is smaller than the sum of its proper divisors (115959610771228).

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

100220202210212 is a wasteful number, since it uses less digits than its factorization.

100220202210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178225201 (or 178225192 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100220202210212 its reverse (212012202022001), we get a palindrome (312232404232213).

The spelling of 100220202210212 in words is "one hundred trillion, two hundred twenty billion, two hundred two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 151 196 266 302 532 604 931 1057 1862 2114 2869 3724 4228 5738 7399 11476 14798 20083 29596 40166 80332 140581 281162 562324 178225013 356450026 712900052 1247575091 2495150182 3386275247 4990300364 6772550494 8733025637 13545100988 17466051274 23703926729 26911976963 34932102548 47407853458 53823953926 94815706916 107647907852 165927487103 188383838741 331854974206 376767677482 511327562297 663709948412 753535354964 1022655124594 1318686871187 2045310249188 2637373742374 3579292936079 5274747484748 7158585872158 14317171744316 25055050552553 50110101105106 100220202210212