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100331028 = 22337218959
BaseRepresentation
bin1011111101011…
…10111000010100
320222210100022000
411332232320110
5201141043103
613542235300
72325541200
oct576567024
9228710260
10100331028
11516a8206
1229725b30
1317a2b395
14d479b00
158c1caa3
hex5faee14

100331028 has 72 divisors (see below), whose sum is σ = 302601600. Its totient is φ = 28664496.

The previous prime is 100331017. The next prime is 100331051. The reversal of 100331028 is 820133001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100331028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4188 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (4202800).

Almost surely, 2100331028 is an apocalyptic number.

100331028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100331028 is an abundant number, since it is smaller than the sum of its proper divisors (202270572).

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

100331028 is a wasteful number, since it uses less digits than its factorization.

100331028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18986 (or 18971 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100331028 is about 10016.5377251823. The cubic root of 100331028 is about 464.6704845509.

Adding to 100331028 its reverse (820133001), we get a palindrome (920464029).

The spelling of 100331028 in words is "one hundred million, three hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 18959 37918 56877 75836 113754 132713 170631 227508 265426 341262 398139 511893 530852 682524 796278 928991 1023786 1194417 1592556 1857982 2047572 2388834 2786973 3583251 3715964 4777668 5573946 7166502 8360919 11147892 14333004 16721838 25082757 33443676 50165514 100331028