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1000000101100 = 22527111310198911
BaseRepresentation
bin11101000110101001010…
…01101001101011101100
310112121011201121120011111
432203110221221223230
5112341000011213400
62043221012401404
7132150635416540
oct16432451515354
93477151546144
101000000101100
11356108a94950
12141982016264
13733b8302870
1436586471a20
151b02b7863ba
hexe8d4a69aec

1000000101100 has 288 divisors, whose sum is σ = 2942443671552. Its totient is φ = 284860800000.

The previous prime is 1000000101013. The next prime is 1000000101131. The reversal of 1000000101100 is 11010000001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1000000101100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10060645 + ... + 10159555.

It is an arithmetic number, because the mean of its divisors is an integer number (10216818304).

Almost surely, 21000000101100 is an apocalyptic number.

1000000101100 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 1000000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471221835776).

1000000101100 is an abundant number, since it is smaller than the sum of its proper divisors (1942443570452).

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

1000000101100 is a wasteful number, since it uses less digits than its factorization.

1000000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99057 (or 99050 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1000000101100 its reverse (11010000001), we get a palindrome (1011010101101).

The spelling of 1000000101100 in words is "one trillion, one hundred one thousand, one hundred".