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100111022211222 = 232113713665168197
BaseRepresentation
bin10110110000110011101001…
…111010101100000010010110
3111010110112001021012012211200
4112300303221322230002112
5101110204333141224342
6552530211350013330
730041532312312321
oct2660635172540226
9433415037165750
10100111022211222
1129997934170750
12b28a22a947246
1343b2576358a59
141aa1583a857b8
15b891b64d494c
hex5b0ce9eac096

100111022211222 has 48 divisors (see below), whose sum is σ = 243021351233232. Its totient is φ = 29516763303360.

The previous prime is 100111022211217. The next prime is 100111022211223. The reversal of 100111022211222 is 222112220111001.

100111022211222 is a `hidden beast` number, since 100 + 1 + 110 + 22 + 211 + 222 = 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 = 100111022211195 and 100111022211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111022211223) by changing a digit.

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, 6832576773 + ... + 6832591424.

It is an arithmetic number, because the mean of its divisors is an integer number (5062944817359).

Almost surely, 2100111022211222 is an apocalyptic number.

100111022211222 is an abundant number, since it is smaller than the sum of its proper divisors (142910329022010).

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

100111022211222 is a wasteful number, since it uses less digits than its factorization.

100111022211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665168253 (or 13665168250 counting only the distinct ones).

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

Adding to 100111022211222 its reverse (222112220111001), we get a palindrome (322223242322223).

The spelling of 100111022211222 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, two hundred eleven thousand, two 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 13665168197 27330336394 40995504591 81991009182 122986513773 150316850167 245973027546 300633700334 450950550501 505611223289 901901101002 1011222446578 1352851651503 1516833669867 2705703303006 3033667339734 4550501009601 5561723456179 9101002019202 11123446912358 16685170368537 33370340737074 50055511105611 100111022211222