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100122111202212 = 223211318155923037
BaseRepresentation
bin10110110000111101111110…
…110111110101001110100100
3111010111120200002002022202200
4112300331332313311032210
5101110400040431432322
6552535243553334500
730042404152216161
oct2660757667651644
9433446602068680
10100122111202212
11299a1604660810
12b290404567430
1343b3622840c98
141aa1d166bd068
15b89614ca18ac
hex5b0f7edf53a4

100122111202212 has 72 divisors (see below), whose sum is σ = 285000574639872. Its totient is φ = 29361322929600.

The previous prime is 100122111202193. The next prime is 100122111202247. The reversal of 100122111202212 is 212202111221001.

100122111202212 is a `hidden beast` number, since 100 + 1 + 221 + 1 + 120 + 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 (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4077949243 + ... + 4077973794.

Almost surely, 2100122111202212 is an apocalyptic number.

100122111202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122111202212 is an abundant number, since it is smaller than the sum of its proper divisors (184878463437660).

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

100122111202212 is a wasteful number, since it uses less digits than its factorization.

100122111202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155923089 (or 8155923084 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100122111202212 its reverse (212202111221001), we get a palindrome (312324222423213).

The spelling of 100122111202212 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 8155923037 16311846074 24467769111 32623692148 48935538222 73403307333 89715153407 97871076444 146806614666 179430306814 252833614147 269145460221 293613229332 358860613628 505667228294 538290920442 758500842441 807436380663 1011334456588 1076581840884 1517001684882 1614872761326 2275502527323 2781169755617 3034003369764 3229745522652 4551005054646 5562339511234 8343509266851 9102010109292 11124679022468 16687018533702 25030527800553 33374037067404 50061055601106 100122111202212