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100012210002 = 234732115849
BaseRepresentation
bin101110100100100110…
…0010011011101010010
3100120011000121200020000
41131021030103131102
53114311111210002
6113540040430430
710140252521115
oct1351114233522
9316130550200
10100012210002
1139462315711
1217471a78416
13957b1c61b3
144baa91c57c
15290534c61c
hex1749313752

100012210002 has 60 divisors (see below), whose sum is σ = 227215330650. Its totient is φ = 32880442752.

The previous prime is 100012209991. The next prime is 100012210019. The reversal of 100012210002 is 200012210001.

It can be written as a sum of positive squares in 3 ways, for example, as 97649375121 + 2362834881 = 312489^2 + 48609^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 805374 + ... + 921222.

Almost surely, 2100012210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113607665325).

100012210002 is an abundant number, since it is smaller than the sum of its proper divisors (127203120648).

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

100012210002 is an equidigital number, since it uses as much as digits as its factorization.

100012210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116009 (or 115927 counting only the distinct ones).

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

Adding to 100012210002 its reverse (200012210001), we get a palindrome (300024420003).

Subtracting 100012210002 from its reverse (200012210001), we obtain a palindrome (99999999999).

The spelling of 100012210002 in words is "one hundred billion, twelve million, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5329 5913 10658 11826 15987 31974 47961 95922 115849 143883 231698 287766 347547 431649 695094 863298 1042641 2085282 3127923 6255846 8456977 9383769 16913954 18767538 25370931 50741862 76112793 152225586 228338379 456676758 617359321 685015137 1234718642 1370030274 1852077963 3704155926 5556233889 11112467778 16668701667 33337403334 50006105001 100012210002