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100011202222212 = 2232199114493121931
BaseRepresentation
bin10110101111010110101100…
…001011101001100010000100
3111010002222101122021101020200
4112233112230023221202010
5101102040420232102322
6552412302333130500
730031366552356231
oct2657265413514204
9433088348241220
10100011202222212
1129959570405566
12b272a11329a30
1343a6028c251b8
141a9a7d48c2788
15b867c2ea68ac
hex5af5ac2e9884

100011202222212 has 72 divisors (see below), whose sum is σ = 254080779825600. Its totient is φ = 33168982714560.

The previous prime is 100011202222199. The next prime is 100011202222237. The reversal of 100011202222212 is 212222202110001.

It is a happy number.

100011202222212 is a `hidden beast` number, since 100 + 0 + 1 + 120 + 222 + 221 + 2 = 666.

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

It is an unprimeable number.

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, 820166887 + ... + 820288817.

It is an arithmetic number, because the mean of its divisors is an integer number (3528899719800).

Almost surely, 2100011202222212 is an apocalyptic number.

100011202222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011202222212 is an abundant number, since it is smaller than the sum of its proper divisors (154069577603388).

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

100011202222212 is a wasteful number, since it uses less digits than its factorization.

100011202222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236633 (or 236628 counting only the distinct ones).

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

Adding to 100011202222212 its reverse (212222202110001), we get a palindrome (312233404332213).

The spelling of 100011202222212 in words is "one hundred trillion, eleven billion, two hundred two million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 2388 3582 7164 114493 121931 228986 243862 343479 365793 457972 487724 686958 731586 1030437 1097379 1373916 1463172 2060874 2194758 4121748 4389516 22784107 24264269 45568214 48528538 68352321 72792807 91136428 97057076 136704642 145585614 205056963 218378421 273409284 291171228 410113926 436756842 820227852 873513684 13960245983 27920491966 41880737949 55840983932 83761475898 125642213847 167522951796 251284427694 502568855388 2778088950617 5556177901234 8334266851851 11112355802468 16668533703702 25002800555553 33337067407404 50005601111106 100011202222212