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3121121340 = 2232517339563
BaseRepresentation
bin1011101000001000…
…1000100000111100
322001111221101120200
42322002020200330
522343001340330
61233412243500
7140226044061
oct27202104074
98044841520
103121121340
111361878727
12731310590
133a981197c
14218734c68
1513401ba60
hexba08883c

3121121340 has 36 divisors (see below), whose sum is σ = 9467401944. Its totient is φ = 832298976.

The previous prime is 3121121329. The next prime is 3121121383. The reversal of 3121121340 is 431211213.

3121121340 is a `hidden beast` number, since 312 + 1 + 12 + 1 + 340 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8669602 + ... + 8669961.

Almost surely, 23121121340 is an apocalyptic number.

3121121340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121121340 is an abundant number, since it is smaller than the sum of its proper divisors (6346280604).

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

3121121340 is a wasteful number, since it uses less digits than its factorization.

3121121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17339578 (or 17339573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3121121340 is about 55866.9968765102. The cubic root of 3121121340 is about 1461.4037509181.

Adding to 3121121340 its reverse (431211213), we get a palindrome (3552332553).

The spelling of 3121121340 in words is "three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17339563 34679126 52018689 69358252 86697815 104037378 156056067 173395630 208074756 260093445 312112134 346791260 520186890 624224268 780280335 1040373780 1560560670 3121121340