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100001222140 = 22518145196113
BaseRepresentation
bin101110100100010001…
…0011000110111111100
3100120010020221102201011
41131020202120313330
53114300303102030
6113535005125004
710140060235411
oct1351042306774
9316106842634
10100001222140
11394570a0336
121746a259764
139578b49ac1
144ba929c108
1529043cbb2a
hex1748898dfc

100001222140 has 48 divisors (see below), whose sum is σ = 211244080320. Its totient is φ = 39764183040.

The previous prime is 100001222039. The next prime is 100001222141. The reversal of 100001222140 is 41222100001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100001222140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001222141) by changing a digit.

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, 16355724 + ... + 16361836.

It is an arithmetic number, because the mean of its divisors is an integer number (4400918340).

Almost surely, 2100001222140 is an apocalyptic number.

100001222140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001222140 is an abundant number, since it is smaller than the sum of its proper divisors (111242858180).

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

100001222140 is a wasteful number, since it uses less digits than its factorization.

100001222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100001222140 its reverse (41222100001), we get a palindrome (141223322141).

The spelling of 100001222140 in words is "one hundred billion, one million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 4519 6113 9038 12226 18076 22595 24452 30565 45190 61130 90380 122260 817939 1106453 1635878 2212906 3271756 4089695 4425812 5532265 8179390 11064530 16358780 22129060 27624647 55249294 110498588 138123235 276246470 552492940 5000061107 10000122214 20000244428 25000305535 50000611070 100001222140