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100313312202 = 2325572961789
BaseRepresentation
bin101110101101100100…
…0111010101111001010
3100120221000012020210100
41131123020322233022
53120420201442302
6114025554230230
710150600041105
oct1353310725712
9316830166710
10100313312202
11395a7282204
1217536885376
1395c86bb88c
144bd88db73c
1529219c7d1c
hex175b23abca

100313312202 has 12 divisors (see below), whose sum is σ = 217345509810. Its totient is φ = 33437770728.

The previous prime is 100313312201. The next prime is 100313312219. The reversal of 100313312202 is 202213313001.

100313312202 is a `hidden beast` number, since 100 + 31 + 331 + 2 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51556697721 + 48756614481 = 227061^2 + 220809^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5572961789 = 100313312202 / (1 + 0 + 0 + 3 + 1 + 3 + 3 + 1 + 2 + 2 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (100313312201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2786480877 + ... + 2786480912.

Almost surely, 2100313312202 is an apocalyptic number.

100313312202 is an abundant number, since it is smaller than the sum of its proper divisors (117032197608).

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

100313312202 is a wasteful number, since it uses less digits than its factorization.

100313312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572961797 (or 5572961794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100313312202 its reverse (202213313001), we get a palindrome (302526625203).

It can be divided in two parts, 10031 and 3312202, that added together give a palindrome (3322233).

The spelling of 100313312202 in words is "one hundred billion, three hundred thirteen million, three hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 5572961789 11145923578 16718885367 33437770734 50156656101 100313312202