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100110012 = 223193711867
BaseRepresentation
bin1011111011110…
…00111010111100
320222101010010020
411331320322330
5201112010022
613533412140
72323630632
oct575707274
9228333106
10100110012
1151567152
122963a050
13179818c2
14d41d352
158bc735c
hex5f78ebc

100110012 has 48 divisors (see below), whose sum is σ = 252551040. Its totient is φ = 30756672.

The previous prime is 100109983. The next prime is 100110013. The reversal of 100110012 is 210011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110013) 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, 2503 + ... + 14369.

It is an arithmetic number, because the mean of its divisors is an integer number (5261480).

Almost surely, 2100110012 is an apocalyptic number.

100110012 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 100110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126275520).

100110012 is an abundant number, since it is smaller than the sum of its proper divisors (152441028).

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

100110012 is a wasteful number, since it uses less digits than its factorization.

100110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11930 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100110012 is about 10005.4990880016. The cubic root of 100110012 is about 464.3290311391.

Adding to 100110012 its reverse (210011001), we get a palindrome (310121013).

It can be divided in two parts, 10011001 and 2, that multiplied together give a palindrome (20022002).

The spelling of 100110012 in words is "one hundred million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 11867 23734 35601 47468 71202 142404 225473 439079 450946 676419 878158 901892 1317237 1352838 1756316 2634474 2705676 5268948 8342501 16685002 25027503 33370004 50055006 100110012