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122210220020100 = 22352407367400067
BaseRepresentation
bin11011110010011001001000…
…110000001001000110000100
3121000201011221100200101100220
4123302121020300021012010
5112004243012311120400
61111530333334304340
734512253115320212
oct3362311060110604
9530634840611326
10122210220020100
1135a380772075a3
12118591ab4b80b0
1353264b3444284
142227013077cb2
15e1de7ce267a0
hex6f2648c09184

122210220020100 has 36 divisors (see below), whose sum is σ = 353594903259024. Its totient is φ = 32589392005280.

The previous prime is 122210220020041. The next prime is 122210220020167. The reversal of 122210220020100 is 1020022012221.

It is a super-2 number, since 2×1222102200201002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122210220020100.

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, 203683699734 + ... + 203683700333.

It is an arithmetic number, because the mean of its divisors is an integer number (9822080646084).

Almost surely, 2122210220020100 is an apocalyptic number.

122210220020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210220020100 is an abundant number, since it is smaller than the sum of its proper divisors (231384683238924).

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

122210220020100 is a wasteful number, since it uses less digits than its factorization.

122210220020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407367400084 (or 407367400077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122210220020100 its reverse (1020022012221), we get a palindrome (123230242032321).

The spelling of 122210220020100 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 407367400067 814734800134 1222102200201 1629469600268 2036837000335 2444204400402 4073674000670 4888408800804 6110511001005 8147348001340 10184185001675 12221022002010 20368370003350 24442044004020 30552555005025 40736740006700 61105110010050 122210220020100