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122404100 = 225271313451
BaseRepresentation
bin1110100101110…
…11110100000100
322112022202212012
413102323310010
5222313412400
620051313352
73014263160
oct722736404
9275282765
10122404100
1163104015
1234bab858
131c489280
1412383ca0
15ab2cd35
hex74bbd04

122404100 has 72 divisors (see below), whose sum is σ = 326937408. Its totient is φ = 38736000.

The previous prime is 122404043. The next prime is 122404123. The reversal of 122404100 is 1404221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2375 + ... + 15825.

Almost surely, 2122404100 is an apocalyptic number.

122404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163468704).

122404100 is an abundant number, since it is smaller than the sum of its proper divisors (204533308).

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

122404100 is a wasteful number, since it uses less digits than its factorization.

122404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13485 (or 13478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122404100 is about 11063.6386419659. The cubic root of 122404100 is about 496.5145598704.

Adding to 122404100 its reverse (1404221), we get a palindrome (123808321).

The spelling of 122404100 in words is "one hundred twenty-two million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 13451 26902 53804 67255 94157 134510 174863 188314 269020 336275 349726 376628 470785 672550 699452 874315 941570 1224041 1345100 1748630 1883140 2353925 2448082 3497260 4371575 4707850 4896164 6120205 8743150 9415700 12240410 17486300 24480820 30601025 61202050 122404100