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100412052 = 223134314969
BaseRepresentation
bin1011111110000…
…10101010010100
320222221110102220
411333002222110
5201201141202
613544102340
72326326336
oct577025224
9228843386
10100412052
1151753074
12297649b0
1317a59220
14d49b456
158c36abc
hex5fc2a94

100412052 has 48 divisors (see below), whose sum is σ = 258202560. Its totient is φ = 30175488.

The previous prime is 100412033. The next prime is 100412057. The reversal of 100412052 is 250214001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412057) 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, 777 + ... + 14192.

It is an arithmetic number, because the mean of its divisors is an integer number (5379220).

Almost surely, 2100412052 is an apocalyptic number.

100412052 is a gapful number since it is divisible by the number (12) 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 100412052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129101280).

100412052 is an abundant number, since it is smaller than the sum of its proper divisors (157790508).

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

100412052 is a wasteful number, since it uses less digits than its factorization.

100412052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15032 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 100412052 is about 10020.5814202570. The cubic root of 100412052 is about 464.7955350357.

Adding to 100412052 its reverse (250214001), we get a palindrome (350626053).

The spelling of 100412052 in words is "one hundred million, four hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 14969 29938 44907 59876 89814 179628 194597 389194 583791 643667 778388 1167582 1287334 1931001 2335164 2574668 3862002 7724004 8367671 16735342 25103013 33470684 50206026 100412052