Search a number
-
+
100102200222012 = 22371117490845331
BaseRepresentation
bin10110110000101011011100…
…000101011110000100111100
3111010102200021110001201201120
4112300223130011132010330
5101110033301224101022
6552522152124110540
730041100560533212
oct2660533405360474
9433380243051646
10100102200222012
112999411740367a
12b288588395450
1343b179b7340b1
141aa0d8816acb2
15b88d4bc6bd5c
hex5b0adc15e13c

100102200222012 has 24 divisors (see below), whose sum is σ = 236861544189312. Its totient is φ = 32897436692400.

The previous prime is 100102200222007. The next prime is 100102200222049. The reversal of 100102200222012 is 210222002201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102200221982 and 100102200222000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58745421814 + ... + 58745423517.

It is an arithmetic number, because the mean of its divisors is an integer number (9869231007888).

Almost surely, 2100102200222012 is an apocalyptic number.

100102200222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102200222012 is an abundant number, since it is smaller than the sum of its proper divisors (136759343967300).

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

100102200222012 is a wasteful number, since it uses less digits than its factorization.

100102200222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117490845409 (or 117490845407 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100102200222012 its reverse (210222002201001), we get a palindrome (310324202423013).

The spelling of 100102200222012 in words is "one hundred trillion, one hundred two billion, two hundred million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 117490845331 234981690662 352472535993 469963381324 704945071986 1409890143972 8341850018501 16683700037002 25025550055503 33367400074004 50051100111006 100102200222012