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10000110111100 = 2252239464990001
BaseRepresentation
bin1001000110000101010100…
…0000101100100101111100
31022102000000212102110212021
42101201111000230211330
52302320211142023400
633133553121045524
72051325023311024
oct221412500544574
938360025373767
1010000110111100
11320602850112a
1211561087868a4
13577010bcc315
142680179d2a84
151251d494371a
hex9185502c97c

10000110111100 has 72 divisors (see below), whose sum is σ = 21795964344000. Its totient is φ = 3982406400000.

The previous prime is 10000110111091. The next prime is 10000110111109. The reversal of 10000110111100 is 111101100001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000110111091) and next prime (10000110111109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000110111109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111066100 + ... + 111156100.

It is an arithmetic number, because the mean of its divisors is an integer number (302721727000).

Almost surely, 210000110111100 is an apocalyptic number.

10000110111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000110111100 is an abundant number, since it is smaller than the sum of its proper divisors (11795854232900).

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

10000110111100 is a wasteful number, since it uses less digits than its factorization.

10000110111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94903 (or 94896 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10000110111100 its reverse (111101100001), we get a palindrome (10111211211101).

The spelling of 10000110111100 in words is "ten trillion, one hundred ten million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 239 478 956 1195 2390 4649 4780 5975 9298 11950 18596 23245 23900 46490 90001 92980 116225 180002 232450 360004 450005 464900 900010 1111111 1800020 2222222 2250025 4444444 4500050 5555555 9000100 11111110 21510239 22222220 27777775 43020478 55555550 86040956 107551195 111111100 215102390 418414649 430204780 537755975 836829298 1075511950 1673658596 2092073245 2151023900 4184146490 8368292980 10460366225 20920732450 41841464900 100001101111 200002202222 400004404444 500005505555 1000011011110 2000022022220 2500027527775 5000055055550 10000110111100