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100211122220022 = 23311237335025781
BaseRepresentation
bin10110110010010000111000…
…010101111010101111110110
3111010211002102102000112101000
4112302100320111322233312
5101113324334242020042
6553044204244344130
730052005012330552
oct2662207025725766
9433732372015330
10100211122220022
1129a26330aa3950
12b2a57060a5046
1343bbb397b2ca8
141aa635c0da862
15b8bac43c674c
hex5b243857abf6

100211122220022 has 64 divisors (see below), whose sum is σ = 253498491025920. Its totient is φ = 29046702088800.

The previous prime is 100211122220021. The next prime is 100211122220023. The reversal of 100211122220022 is 220022221112001.

It is a happy number.

100211122220022 is a `hidden beast` number, since 10 + 0 + 211 + 1 + 222 + 200 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (100211122220021) and next prime (100211122220023).

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 = 100211122219977 and 100211122220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211122220021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3667499229 + ... + 3667526552.

It is an arithmetic number, because the mean of its divisors is an integer number (3960913922280).

Almost surely, 2100211122220022 is an apocalyptic number.

100211122220022 is an abundant number, since it is smaller than the sum of its proper divisors (153287368805898).

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

100211122220022 is a wasteful number, since it uses less digits than its factorization.

100211122220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335025826 (or 7335025820 counting only the distinct ones).

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

Adding to 100211122220022 its reverse (220022221112001), we get a palindrome (320233343332023).

The spelling of 100211122220022 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 7335025781 14670051562 22005077343 44010154686 66015232029 80685283591 132030464058 161370567182 168705592963 198045696087 242055850773 337411185926 396091392174 484111701546 506116778889 726167552319 1012233557778 1452335104638 1518350336667 1855761522593 2178502656957 3036700673334 3711523045186 4357005313914 4555051010001 5567284567779 9110102020002 11134569135558 16701853703337 33403707406674 50105561110011 100211122220022