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100120221221022 = 23279508113857121
BaseRepresentation
bin10110110000111100001110…
…001110001000000010011110
3111010111101210100202022222100
4112300330032032020002132
5101110332203113033042
6552534332240425530
730042306262515012
oct2660741616100236
9433441710668870
10100120221221022
11299a0824828992
12b28bb776182a6
1343b33b1107712
141aa1bb76a2542
15b89553dc224c
hex5b0f0e38809e

100120221221022 has 48 divisors (see below), whose sum is σ = 219716309292480. Its totient is φ = 32944471372800.

The previous prime is 100120221221017. The next prime is 100120221221023. The reversal of 100120221221022 is 220122122021001.

It is a happy number.

100120221221022 is a `hidden beast` number, since 100 + 120 + 2 + 212 + 210 + 22 = 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 = 100120221220986 and 100120221221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120221221023) 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, 296622 + ... + 14153742.

It is an arithmetic number, because the mean of its divisors is an integer number (4577423110260).

Almost surely, 2100120221221022 is an apocalyptic number.

100120221221022 is an abundant number, since it is smaller than the sum of its proper divisors (119596088071458).

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

100120221221022 is a wasteful number, since it uses less digits than its factorization.

100120221221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13862289 (or 13862286 counting only the distinct ones).

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

Adding to 100120221221022 its reverse (220122122021001), we get a palindrome (320242343242023).

The spelling of 100120221221022 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 5081 10162 15243 30486 45729 91458 401399 802798 1204197 2408394 3612591 7225182 13857121 27714242 41571363 83142726 124714089 249428178 1094712559 2189425118 3284137677 6568275354 9852413031 19704826062 70408031801 140816063602 211224095403 422448190806 633672286209 1267344572418 5562234512279 11124469024558 16686703536837 33373407073674 50060110610511 100120221221022