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1000101101100 = 22352101151241907
BaseRepresentation
bin11101000110110101010…
…10111011111000101100
310112121102202122220010020
432203122222323320230
5112341201340213400
62043235021242140
7132153303045303
oct16433252737054
93477382586106
101000101101100
1135615aaa9722
121419aba03350
137340320658a
1436595a4343a
151b0355872a0
hexe8daabbe2c

1000101101100 has 288 divisors, whose sum is σ = 2957091067392. Its totient is φ = 260928000000.

The previous prime is 1000101101081. The next prime is 1000101101117. The reversal of 1000101101100 is 11011010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 95 ways as a sum of consecutive naturals, for example, 1102646847 + ... + 1102647753.

Almost surely, 21000101101100 is an apocalyptic number.

1000101101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000101101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478545533696).

1000101101100 is an abundant number, since it is smaller than the sum of its proper divisors (1956989966292).

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

1000101101100 is a wasteful number, since it uses less digits than its factorization.

1000101101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000101101100 its reverse (11011010001), we get a palindrome (1011112111101).

The spelling of 1000101101100 in words is "one trillion, one hundred one million, one hundred one thousand, one hundred".