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100211010022212 = 2233753280349047
BaseRepresentation
bin10110110010010000110001…
…101001111010101101000100
3111010211002010120220021220120
4112302100301221322231010
5101113324122031202322
6553044145155501540
730052002150553335
oct2662206151725504
9433732116807816
10100211010022212
1129a26283730a91
12b2a56945b78b0
1343bbb1c48b45b
141aa634b25228c
15b8bab9612a5c
hex5b2431a7ab44

100211010022212 has 72 divisors (see below), whose sum is σ = 244761841187136. Its totient is φ = 31887643791744.

The previous prime is 100211010022187. The next prime is 100211010022231. The reversal of 100211010022212 is 212220010112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211010022191 and 100211010022200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38927328 + ... + 41421719.

It is an arithmetic number, because the mean of its divisors is an integer number (3399470016488).

Almost surely, 2100211010022212 is an apocalyptic number.

100211010022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211010022212 is an abundant number, since it is smaller than the sum of its proper divisors (144550831164924).

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

100211010022212 is a wasteful number, since it uses less digits than its factorization.

100211010022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80349197 (or 80349142 counting only the distinct ones).

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

Adding to 100211010022212 its reverse (212220010112001), we get a palindrome (312431020134213).

The spelling of 100211010022212 in words is "one hundred trillion, two hundred eleven billion, ten million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 53 74 106 111 148 159 212 222 318 444 636 1961 2809 3922 5618 5883 7844 8427 11236 11766 16854 23532 33708 103933 207866 311799 415732 623598 1247196 80349047 160698094 241047141 321396188 482094282 964188564 2972914739 4258499491 5945829478 8516998982 8918744217 11891658956 12775498473 17033997964 17837488434 25550996946 35674976868 51101993892 157564481167 225700473023 315128962334 451400946046 472693443501 630257924668 677101419069 902801892092 945386887002 1354202838138 1890773774004 2708405676276 8350917501851 16701835003702 25052752505553 33403670007404 50105505011106 100211010022212