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2113102992 = 24371113217199
BaseRepresentation
bin111110111110011…
…0110010010010000
312110021011202100210
41331330312102100
513311423243432
6545403044120
7103236036060
oct17574662220
95407152323
102113102992
11994878610
124ab810640
13278a27c00
141608db3a0
15c57a48cc
hex7df36490

2113102992 has 480 divisors, whose sum is σ = 7842355200. Its totient is φ = 474439680.

The previous prime is 2113102973. The next prime is 2113102997. The reversal of 2113102992 is 2992013112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113102997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10618509 + ... + 10618707.

It is an arithmetic number, because the mean of its divisors is an integer number (16338240).

Almost surely, 22113102992 is an apocalyptic number.

2113102992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 45968×45969.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113102992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921177600).

2113102992 is an abundant number, since it is smaller than the sum of its proper divisors (5729252208).

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

2113102992 is a wasteful number, since it uses less digits than its factorization.

2113102992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 2113102992 is about 45968.4999972807. The cubic root of 2113102992 is about 1283.2370444350.

The spelling of 2113102992 in words is "two billion, one hundred thirteen million, one hundred two thousand, nine hundred ninety-two".