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100323204128 = 25729106914447
BaseRepresentation
bin101110101101110111…
…0101001110000100000
3100120221200210210221222
41131123232221300200
53120430220013003
6114030550234212
710151050110410
oct1353356516040
9316850723858
10100323204128
1139601919154
121753a055968
1395ca7731a4
144bd9d54640
1529227cdc38
hex175bba9c20

100323204128 has 96 divisors (see below), whose sum is σ = 233745523200. Its totient is φ = 41471345664.

The previous prime is 100323204127. The next prime is 100323204139. The reversal of 100323204128 is 821402323001.

It is a junction number, because it is equal to n+sod(n) for n = 100323204097 and 100323204106.

It is not an unprimeable number, because it can be changed into a prime (100323204127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6937001 + ... + 6951447.

It is an arithmetic number, because the mean of its divisors is an integer number (2434849200).

Almost surely, 2100323204128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116872761600).

100323204128 is an abundant number, since it is smaller than the sum of its proper divisors (133422319072).

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

100323204128 is a wasteful number, since it uses less digits than its factorization.

100323204128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15562 (or 15554 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 100323204128 its reverse (821402323001), we get a palindrome (921725527129).

The spelling of 100323204128 in words is "one hundred billion, three hundred twenty-three million, two hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1069 1624 2138 3248 4276 6496 7483 8552 14447 14966 17104 28894 29932 31001 34208 57788 59864 62002 101129 115576 119728 124004 202258 217007 231152 239456 248008 404516 418963 434014 462304 496016 809032 837926 868028 992032 1618064 1675852 1736056 2932741 3236128 3351704 3472112 5865482 6703408 6944224 11730964 13406816 15443843 23461928 30887686 46923856 61775372 93847712 108106901 123550744 216213802 247101488 432427604 447871447 494202976 864855208 895742894 1729710416 1791485788 3135100129 3459420832 3582971576 6270200258 7165943152 12540400516 14331886304 25080801032 50161602064 100323204128