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100211221111122 = 23211506117278339
BaseRepresentation
bin10110110010010000111110…
…001111001010000101010010
3111010211002200022002201110100
4112302100332033022011102
5101113330040101023442
6553044222140113230
730052010323024032
oct2662207617120522
9433732608081410
10100211221111122
1129a263818a8230
12b2a5733235816
1343bbb54128b34
141aa636b2bd8c2
15b8bacce0c84c
hex5b243e3ca152

100211221111122 has 24 divisors (see below), whose sum is σ = 236862886263120. Its totient is φ = 30367036700280.

The previous prime is 100211221111091. The next prime is 100211221111147. The reversal of 100211221111122 is 221111122112001.

It is a happy number.

100211221111122 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 221 + 111 + 122 = 666.

It is a super-2 number, since 2×1002112211111222 (a number of 29 digits) contains 22 as substring.

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 = 100211221111095 and 100211221111104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253058638972 + ... + 253058639367.

It is an arithmetic number, because the mean of its divisors is an integer number (9869286927630).

Almost surely, 2100211221111122 is an apocalyptic number.

100211221111122 is an abundant number, since it is smaller than the sum of its proper divisors (136651665151998).

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

100211221111122 is a wasteful number, since it uses less digits than its factorization.

100211221111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506117278358 (or 506117278355 counting only the distinct ones).

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

Adding to 100211221111122 its reverse (221111122112001), we get a palindrome (321322343223123).

The spelling of 100211221111122 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 506117278339 1012234556678 1518351835017 3036703670034 4555055505051 5567290061729 9110111010102 11134580123458 16701870185187 33403740370374 50105610555561 100211221111122