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100222211020212 = 223210131818665157
BaseRepresentation
bin10110110010011011001101…
…010010010101010110110100
3111010212011001012112221120100
4112302123031102111112310
5101114020042010121322
6553053240444034100
730052546550511231
oct2662331522252664
9433764035487510
10100222211020212
1129a30001373626
12b2a789b832930
1343bcbb5c2c418
141aa6ad0ac4788
15b8c022b56dac
hex5b26cd4955b4

100222211020212 has 72 divisors (see below), whose sum is σ = 255928249041192. Its totient is φ = 33066235296000.

The previous prime is 100222211020201. The next prime is 100222211020241. The reversal of 100222211020212 is 212020112222001.

It is a happy number.

100222211020212 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 211 + 0 + 20 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29790571789476 + 70431639230736 = 5458074^2 + 8392356^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 7233538 + ... + 15898694.

It is an arithmetic number, because the mean of its divisors is an integer number (3554559014461).

Almost surely, 2100222211020212 is an apocalyptic number.

100222211020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222211020212 is an abundant number, since it is smaller than the sum of its proper divisors (155706038020980).

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

100222211020212 is a wasteful number, since it uses less digits than its factorization.

100222211020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668449 (or 8668444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222211020212 its reverse (212020112222001), we get a palindrome (312242323242213).

The spelling of 100222211020212 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3181 3636 6362 9543 12724 19086 28629 38172 57258 114516 321281 642562 963843 1285124 1927686 2891529 3855372 5783058 8665157 11566116 17330314 25995471 34660628 51990942 77986413 103981884 155972826 311945652 875180857 1750361714 2625542571 3500723428 5251085142 7876627713 10502170284 15753255426 27563864417 31506510852 55127728834 82691593251 110255457668 165383186502 248074779753 330766373004 496149559506 992299119012 2783950306117 5567900612234 8351850918351 11135801224468 16703701836702 25055552755053 33407403673404 50111105510106 100222211020212