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100202001012 = 22325827477671
BaseRepresentation
bin101110101010010000…
…0010011001001110100
3100120122020202001112200
41131110200103021310
53120203203013022
6114010540344500
710145045645511
oct1352440231164
9316566661480
10100202001012
113954a465493
1217505545130
1395ab617779
144bc7c04308
152916d3bbac
hex1754813274

100202001012 has 36 divisors (see below), whose sum is σ = 253332389856. Its totient is φ = 33394865040.

The previous prime is 100202001007. The next prime is 100202001047. The reversal of 100202001012 is 210100202001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100202000985 and 100202001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29064 + ... + 448607.

Almost surely, 2100202001012 is an apocalyptic number.

100202001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100202001012 is an abundant number, since it is smaller than the sum of its proper divisors (153130388844).

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

100202001012 is a wasteful number, since it uses less digits than its factorization.

100202001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483508 (or 483503 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100202001012 its reverse (210100202001), we get a palindrome (310302203013).

The spelling of 100202001012 in words is "one hundred billion, two hundred two million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5827 11654 17481 23308 34962 52443 69924 104886 209772 477671 955342 1433013 1910684 2866026 4299039 5732052 8598078 17196156 2783388917 5566777834 8350166751 11133555668 16700333502 25050500253 33400667004 50101000506 100202001012