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100201030200 = 23325255667239
BaseRepresentation
bin101110101010001110…
…0100110001000111000
3100120122011220201211200
41131110130212020320
53120202430431300
6114010503454200
710145034463245
oct1352434461070
9316564821750
10100201030200
1139549962067
1217505157360
1395ab36791b
144bc7a305cc
152916be9200
hex1754726238

100201030200 has 72 divisors (see below), whose sum is σ = 336508465800. Its totient is φ = 26720274240.

The previous prime is 100201030177. The next prime is 100201030201. The reversal of 100201030200 is 2030102001.

It is a happy number.

100201030200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201030201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27831820 + ... + 27835419.

Almost surely, 2100201030200 is an apocalyptic number.

100201030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201030200 is an abundant number, since it is smaller than the sum of its proper divisors (236307435600).

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

100201030200 is a wasteful number, since it uses less digits than its factorization.

100201030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55667261 (or 55667249 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100201030200 its reverse (2030102001), we get a palindrome (102231132201).

The spelling of 100201030200 in words is "one hundred billion, two hundred one million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 55667239 111334478 167001717 222668956 278336195 334003434 445337912 501005151 556672390 668006868 835008585 1002010302 1113344780 1336013736 1391680975 1670017170 2004020604 2226689560 2505025755 2783361950 3340034340 4008041208 4175042925 5010051510 5566723900 6680068680 8350085850 10020103020 11133447800 12525128775 16700171700 20040206040 25050257550 33400343400 50100515100 100201030200