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100012002210 = 23351919495517
BaseRepresentation
bin101110100100100101…
…1100000101110100010
3100120011000020010012000
41131021023200232202
53114311033032320
6113540032144430
710140250664241
oct1351113405642
9316130203160
10100012002210
113946219358a
1217471998116
13957b152743
144baa8a6958
15290530ac90
hex17492e0ba2

100012002210 has 64 divisors (see below), whose sum is σ = 280735459200. Its totient is φ = 25266188736.

The previous prime is 100012002187. The next prime is 100012002241. The reversal of 100012002210 is 12200210001.

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 = 100012002192 and 100012002201.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9742629 + ... + 9752888.

It is an arithmetic number, because the mean of its divisors is an integer number (4386491550).

Almost surely, 2100012002210 is an apocalyptic number.

100012002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100012002210 is an abundant number, since it is smaller than the sum of its proper divisors (180723456990).

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

100012002210 is a wasteful number, since it uses less digits than its factorization.

100012002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19495552 (or 19495546 counting only the distinct ones).

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

Adding to 100012002210 its reverse (12200210001), we get a palindrome (112212212211).

The spelling of 100012002210 in words is "one hundred billion, twelve million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 19495517 38991034 58486551 97477585 116973102 175459653 194955170 292432755 350919306 370414823 526378959 584865510 740829646 877298265 1052757918 1111244469 1754596530 1852074115 2222488938 2631894795 3333733407 3704148230 5263789590 5556222345 6667466814 10001200221 11112444690 16668667035 20002400442 33337334070 50006001105 100012002210