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100201312002 = 23117919217743
BaseRepresentation
bin101110101010001110…
…1101010111100000010
3100120122012110001101210
41131110131222330002
53120203013441002
6114010513510550
710145040045651
oct1352435527402
9316565401353
10100201312002
113954a034860
1217505272456
1395ab435c7c
144bc7aa5198
152916c5296c
hex175476af02

100201312002 has 32 divisors (see below), whose sum is σ = 221388410880. Its totient is φ = 29979677520.

The previous prime is 100201311983. The next prime is 100201312027. The reversal of 100201312002 is 200213102001.

It is an unprimeable number.

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, 9603658 + ... + 9614085.

It is an arithmetic number, because the mean of its divisors is an integer number (6918387840).

Almost surely, 2100201312002 is an apocalyptic number.

100201312002 is an abundant number, since it is smaller than the sum of its proper divisors (121187098878).

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

100201312002 is a wasteful number, since it uses less digits than its factorization.

100201312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19217838.

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

Adding to 100201312002 its reverse (200213102001), we get a palindrome (300414414003).

The spelling of 100201312002 in words is "one hundred billion, two hundred one million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 5214 19217743 38435486 57653229 115306458 211395173 422790346 634185519 1268371038 1518201697 3036403394 4554605091 9109210182 16700218667 33400437334 50100656001 100201312002