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100111221112122 = 232113713665195347
BaseRepresentation
bin10110110000110011110101…
…110001011011110100111010
3111010110112120010110102120200
4112300303311301123310322
5101110210240101041442
6552530243213103030
730041540246041323
oct2660636561336472
9433415503412520
10100111221112122
1129997a26472960
12b28a285487a76
1343b25a86199ac
141aa15a225d44a
15b891c8bc334c
hex5b0cf5c5bd3a

100111221112122 has 48 divisors (see below), whose sum is σ = 243021834068832. Its totient is φ = 29516821947360.

The previous prime is 100111221112103. The next prime is 100111221112127. The reversal of 100111221112122 is 221211122111001.

It is a happy number.

100111221112122 is a `hidden beast` number, since 100 + 111 + 221 + 112 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111221112095 and 100111221112104.

It is not an unprimeable number, because it can be changed into a prime (100111221112127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6832590348 + ... + 6832604999.

It is an arithmetic number, because the mean of its divisors is an integer number (5062954876434).

Almost surely, 2100111221112122 is an apocalyptic number.

100111221112122 is an abundant number, since it is smaller than the sum of its proper divisors (142910612956710).

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

100111221112122 is a wasteful number, since it uses less digits than its factorization.

100111221112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665195403 (or 13665195400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100111221112122 its reverse (221211122111001), we get a palindrome (321322343223123).

The spelling of 100111221112122 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 13665195347 27330390694 40995586041 81991172082 122986758123 150317148817 245973516246 300634297634 450951446451 505612227839 901902892902 1011224455678 1352854339353 1516836683517 2705708678706 3033673367034 4550510050551 5561734506229 9101020101102 11123469012458 16685203518687 33370407037374 50055610556061 100111221112122