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100100101002 = 23112137878927
BaseRepresentation
bin101110100111001101…
…1100101001110001010
3100120101011000000000020
41131032123211032022
53120001111213002
6113552500321310
710142400551106
oct1351633451612
9316334000006
10100100101002
11394a7996500
12174973a3236
13959348a1c5
144bb847a906
15290ce0e2bc
hex174e6e538a

100100101002 has 24 divisors (see below), whose sum is σ = 220054769088. Its totient is φ = 30333363720.

The previous prime is 100100100953. The next prime is 100100101019. The reversal of 100100101002 is 200101001001.

It is a super-2 number, since 2×1001001010022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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, 68938738 + ... + 68940189.

It is an arithmetic number, because the mean of its divisors is an integer number (9168948712).

Almost surely, 2100100101002 is an apocalyptic number.

100100101002 is an abundant number, since it is smaller than the sum of its proper divisors (119954668086).

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

100100101002 is a wasteful number, since it uses less digits than its factorization.

100100101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137878954 (or 137878943 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100101002 its reverse (200101001001), we get a palindrome (300201102003).

It can be divided in two parts, 100100 and 101002, that added together give a palindrome (201102).

The spelling of 100100101002 in words is "one hundred billion, one hundred million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 137878927 275757854 413636781 827273562 1516668197 3033336394 4550004591 9100009182 16683350167 33366700334 50050050501 100100101002