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1115130703104 = 283311217107733
BaseRepresentation
bin10000001110100010111…
…110000010110100000000
310221121100101011010101000
4100032202332002310000
5121232241424444404
62212141201012000
7143364656403405
oct20164276026400
93847311133330
101115130703104
1139aa19235200
12160153024000
1381205727b32
143bd88bd22ac
151e018ed2339
hex103a2f82d00

1115130703104 has 864 divisors, whose sum is σ = 3879045313920. Its totient is φ = 314638663680.

The previous prime is 1115130703051. The next prime is 1115130703123. The reversal of 1115130703104 is 4013070315111.

1115130703104 is a `hidden beast` number, since 111 + 513 + 0 + 7 + 0 + 31 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1521323922 + ... + 1521324654.

It is an arithmetic number, because the mean of its divisors is an integer number (4489635780).

Almost surely, 21115130703104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115130703104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939522656960).

1115130703104 is an abundant number, since it is smaller than the sum of its proper divisors (2763914610816).

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

1115130703104 is a wasteful number, since it uses less digits than its factorization.

1115130703104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1115130703104 in words is "one trillion, one hundred fifteen billion, one hundred thirty million, seven hundred three thousand, one hundred four".