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100043112 = 23313437457
BaseRepresentation
bin1011111011010…
…00100101101000
320222020201100110
411331220211220
5201102334422
613532134320
72323231611
oct575504550
9228221313
10100043112
1151520964
12296073a0
131795a310
14d402c08
158bb260c
hex5f68968

100043112 has 64 divisors (see below), whose sum is σ = 275647680. Its totient is φ = 30062592.

The previous prime is 100043093. The next prime is 100043129. The reversal of 100043112 is 211340001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9688 + ... + 17144.

It is an arithmetic number, because the mean of its divisors is an integer number (4306995).

Almost surely, 2100043112 is an apocalyptic number.

100043112 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 100043112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137823840).

100043112 is an abundant number, since it is smaller than the sum of its proper divisors (175604568).

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

100043112 is a wasteful number, since it uses less digits than its factorization.

100043112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7522 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100043112 is about 10002.1553677195. The cubic root of 100043112 is about 464.2255765039.

Adding to 100043112 its reverse (211340001), we get a palindrome (311383113).

The spelling of 100043112 in words is "one hundred million, forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 7457 13416 14914 22371 29828 44742 59656 89484 96941 178968 193882 290823 320651 387764 581646 641302 775528 961953 1163292 1282604 1923906 2326584 2565208 3847812 4168463 7695624 8336926 12505389 16673852 25010778 33347704 50021556 100043112