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100024122 = 231113910903
BaseRepresentation
bin1011111011000…
…11111100111010
320222012202022010
411331203330322
5201101232442
613531510350
72323122342
oct575437472
9228182263
10100024122
1151508670
12295b83b6
1317951793
14d3d9d22
158babb9c
hex5f63f3a

100024122 has 32 divisors (see below), whose sum is σ = 219824640. Its totient is φ = 30089520.

The previous prime is 100024121. The next prime is 100024123. The reversal of 100024122 is 221420001.

It is an interprime number because it is at equal distance from previous prime (100024121) and next prime (100024123).

It is a junction number, because it is equal to n+sod(n) for n = 100024098 and 100024107.

It is not an unprimeable number, because it can be changed into a prime (100024121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3723 + ... + 14625.

It is an arithmetic number, because the mean of its divisors is an integer number (6869520).

Almost surely, 2100024122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100024122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109912320).

100024122 is an abundant number, since it is smaller than the sum of its proper divisors (119800518).

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

100024122 is a wasteful number, since it uses less digits than its factorization.

100024122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100024122 is about 10001.2060272749. The cubic root of 100024122 is about 464.1962018294.

Adding to 100024122 its reverse (221420001), we get a palindrome (321444123).

The spelling of 100024122 in words is "one hundred million, twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 834 1529 3058 4587 9174 10903 21806 32709 65418 119933 239866 359799 719598 1515517 3031034 4546551 9093102 16670687 33341374 50012061 100024122