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1102780140 = 22357111719739
BaseRepresentation
bin100000110111011…
…0001011011101100
32211212002000221220
41001232301123230
54224302431030
6301232223340
736220322310
oct10156613354
92755060856
101102780140
11516544050
1226939ab50
13147615237
14a6663b40
1566c34a10
hex41bb16ec

1102780140 has 384 divisors, whose sum is σ = 4296499200. Its totient is φ = 204042240.

The previous prime is 1102780117. The next prime is 1102780163. The reversal of 1102780140 is 410872011.

1102780140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1102780117) and next prime (1102780163).

It is a super-2 number, since 2×11027801402 = 2432248074356839200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1102780140.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1491891 + ... + 1492629.

It is an arithmetic number, because the mean of its divisors is an integer number (11188800).

Almost surely, 21102780140 is an apocalyptic number.

1102780140 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 1102780140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148249600).

1102780140 is an abundant number, since it is smaller than the sum of its proper divisors (3193719060).

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

1102780140 is a wasteful number, since it uses less digits than its factorization.

1102780140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1102780140 is about 33208.1336422269. The cubic root of 1102780140 is about 1033.1490454104.

The spelling of 1102780140 in words is "one billion, one hundred two million, seven hundred eighty thousand, one hundred forty".