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1111117098240 = 2834531523661
BaseRepresentation
bin10000001010110011101…
…111010110110100000000
310221012222122211212120000
4100022303233112310000
5121201031434120430
62210235023320000
7143163342334452
oct20126357266400
93835878755500
101111117098240
113992496a9496
1215b412a50000
1380a16051b06
143bac7b3a2d2
151dd81970e60
hex102b3bd6d00

1111117098240 has 720 divisors, whose sum is σ = 4118098930176. Its totient is φ = 285758668800.

The previous prime is 1111117098211. The next prime is 1111117098251. The reversal of 1111117098240 is 428907111111.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×11111170982402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1111117098195 and 1111117098204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1680963510 + ... + 1680964170.

Almost surely, 21111117098240 is an apocalyptic number.

1111117098240 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 1111117098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059049465088).

1111117098240 is an abundant number, since it is smaller than the sum of its proper divisors (3006981831936).

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

1111117098240 is an equidigital number, since it uses as much as digits as its factorization.

1111117098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The spelling of 1111117098240 in words is "one trillion, one hundred eleven billion, one hundred seventeen million, ninety-eight thousand, two hundred forty".