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100422012 = 22329596773
BaseRepresentation
bin1011111110001…
…01000101111100
320222221222002210
411333011011330
5201202001022
613544220420
72326400355
oct577050574
9228858083
10100422012
115175a5a9
122976a710
1317a60912
14d4a0d2c
158c39a0c
hex5fc517c

100422012 has 96 divisors (see below), whose sum is σ = 253612800. Its totient is φ = 30868992.

The previous prime is 100422001. The next prime is 100422019. The reversal of 100422012 is 210224001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100422019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375608 + ... + 1375680.

It is an arithmetic number, because the mean of its divisors is an integer number (2641800).

Almost surely, 2100422012 is an apocalyptic number.

100422012 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 100422012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126806400).

100422012 is an abundant number, since it is smaller than the sum of its proper divisors (153190788).

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

100422012 is a wasteful number, since it uses less digits than its factorization.

100422012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

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

The square root of 100422012 is about 10021.0783850841. The cubic root of 100422012 is about 464.8109024157.

Adding to 100422012 its reverse (210224001), we get a palindrome (310646013).

The spelling of 100422012 in words is "one hundred million, four hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 59 67 73 87 116 118 134 146 174 177 201 219 236 268 292 348 354 402 438 708 804 876 1711 1943 2117 3422 3886 3953 4234 4307 4891 5133 5829 6351 6844 7772 7906 8468 8614 9782 10266 11658 11859 12702 12921 14673 15812 17228 19564 20532 23316 23718 25404 25842 29346 47436 51684 58692 114637 124903 141839 229274 249806 283678 288569 343911 374709 425517 458548 499612 567356 577138 687822 749418 851034 865707 1154276 1375644 1498836 1702068 1731414 3462828 8368501 16737002 25105503 33474004 50211006 100422012