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100103330320 = 2457178755947
BaseRepresentation
bin101110100111010011…
…1111001101000010000
3100120101101002001210121
41131032213321220100
53120002423032240
6113553053440024
710142440161040
oct1351647715020
9316341061717
10100103330320
11394a97a1764
12174984a0014
13959404b046
144bb8a7b720
15290d34b04a
hex174e9f9a10

100103330320 has 40 divisors (see below), whose sum is σ = 265988850624. Its totient is φ = 34321141632.

The previous prime is 100103330309. The next prime is 100103330321. The reversal of 100103330320 is 23033301001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100103330294 and 100103330303.

It is not an unprimeable number, because it can be changed into a prime (100103330321) 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 7 ways as a sum of consecutive naturals, for example, 89377414 + ... + 89378533.

Almost surely, 2100103330320 is an apocalyptic number.

100103330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103330320 is an abundant number, since it is smaller than the sum of its proper divisors (165885520304).

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

100103330320 is a wasteful number, since it uses less digits than its factorization.

100103330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178755967 (or 178755961 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100103330320 its reverse (23033301001), we get a palindrome (123136631321).

The spelling of 100103330320 in words is "one hundred billion, one hundred three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 178755947 357511894 715023788 893779735 1251291629 1430047576 1787559470 2502583258 2860095152 3575118940 5005166516 6256458145 7150237880 10010333032 12512916290 14300475760 20020666064 25025832580 50051665160 100103330320