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100130022 = 23247711667
BaseRepresentation
bin1011111011111…
…01110011100110
320222102010120100
411331331303212
5201113130042
613534044530
72324043156
oct575756346
9228363510
10100130022
1151580193
1229649746
131798aa45
14d426766
158bcd24c
hex5f7dce6

100130022 has 48 divisors (see below), whose sum is σ = 224819712. Its totient is φ = 32187120.

The previous prime is 100130003. The next prime is 100130039. The reversal of 100130022 is 220031001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100129986 and 100130013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59233 + ... + 60899.

It is an arithmetic number, because the mean of its divisors is an integer number (4683744).

Almost surely, 2100130022 is an apocalyptic number.

100130022 is an abundant number, since it is smaller than the sum of its proper divisors (124689690).

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

100130022 is a wasteful number, since it uses less digits than its factorization.

100130022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100130022 is about 10006.4989881576. The cubic root of 100130022 is about 464.3599657904.

Adding to 100130022 its reverse (220031001), we get a palindrome (320161023).

The spelling of 100130022 in words is "one hundred million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 47 71 94 141 142 213 282 423 426 639 846 1278 1667 3334 3337 5001 6674 10002 10011 15003 20022 30006 30033 60066 78349 118357 156698 235047 236714 355071 470094 705141 710142 1065213 1410282 2130426 5562779 11125558 16688337 33376674 50065011 100130022