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100100010012 = 22337234796059
BaseRepresentation
bin101110100111001101…
…1001111000000011100
3100120101010211101012020
41131032123033000130
53120001100310022
6113552454340140
710142400021612
oct1351633170034
9316333741166
10100100010012
11394a7934102
121749735a650
139593457972
144bb84556b2
15290cde235c
hex174e6cf01c

100100010012 has 48 divisors (see below), whose sum is σ = 239984008320. Its totient is φ = 32450697792.

The previous prime is 100100009993. The next prime is 100100010047. The reversal of 100100010012 is 210010001001.

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

It is a congruent number.

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, 994039 + ... + 1090097.

It is an arithmetic number, because the mean of its divisors is an integer number (4999666840).

Almost surely, 2100100010012 is an apocalyptic number.

100100010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100010012 is an abundant number, since it is smaller than the sum of its proper divisors (139883998308).

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

100100010012 is a wasteful number, since it uses less digits than its factorization.

100100010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98450 (or 98448 counting only the distinct ones).

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

Adding to 100100010012 its reverse (210010001001), we get a palindrome (310110011013).

It can be divided in two parts, 10010001001 and 2, that multiplied together give a palindrome (20020002002).

The spelling of 100100010012 in words is "one hundred billion, one hundred million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 2347 4694 7041 9388 14082 28164 86839 96059 173678 192118 260517 288177 347356 384236 521034 576354 1042068 1152708 3554183 7108366 10662549 14216732 21325098 42650196 225450473 450900946 676351419 901801892 1352702838 2705405676 8341667501 16683335002 25025002503 33366670004 50050005006 100100010012