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3101091840 = 2113257111923
BaseRepresentation
bin1011100011010110…
…1110100000000000
322000010020210021100
42320311232200000
522322334414330
61231415054400
7136563563040
oct27065564000
98003223240
103101091840
111351538220
12726671400
133a561acb2
14215bdd720
151323b2060
hexb8d6e800

3101091840 has 1152 divisors, whose sum is σ = 14718412800. Its totient is φ = 583925760.

The previous prime is 3101091827. The next prime is 3101091857. The reversal of 3101091840 is 481901013.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×31010918402 = 19233541200229171200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134830069 + ... + 134830091.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 23101091840 is an apocalyptic number.

3101091840 is a gapful number since it is divisible by the number (30) 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 3101091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

3101091840 is an abundant number, since it is smaller than the sum of its proper divisors (11617320960).

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

3101091840 is a wasteful number, since it uses less digits than its factorization.

3101091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 3101091840 is about 55687.4477777533. The cubic root of 3101091840 is about 1458.2708997780.

Adding to 3101091840 its reverse (481901013), we get a palindrome (3582992853).

The spelling of 3101091840 in words is "three billion, one hundred one million, ninety-one thousand, eight hundred forty".