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3122103420 = 223357379201
BaseRepresentation
bin1011101000010111…
…1000010001111100
322001120210021202000
42322011320101330
522343224302140
61233445302300
7140240304222
oct27205702174
98046707660
103122103420
111362389567
12731704990
133a9a96997
1421890cb12
15134162a30
hexba17847c

3122103420 has 96 divisors (see below), whose sum is σ = 9846392640. Its totient is φ = 821145600.

The previous prime is 3122103419. The next prime is 3122103433. The reversal of 3122103420 is 243012213.

3122103420 is a `hidden beast` number, since 31 + 2 + 210 + 3 + 420 = 666.

3122103420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3122103393 and 3122103402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181 + ... + 79020.

It is an arithmetic number, because the mean of its divisors is an integer number (102566590).

Almost surely, 23122103420 is an apocalyptic number.

3122103420 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 3122103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923196320).

3122103420 is an abundant number, since it is smaller than the sum of its proper divisors (6724289220).

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

3122103420 is a wasteful number, since it uses less digits than its factorization.

3122103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79292 (or 79284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3122103420 is about 55875.7856320607. The cubic root of 3122103420 is about 1461.5570147329.

Adding to 3122103420 its reverse (243012213), we get a palindrome (3365115633).

The spelling of 3122103420 in words is "three billion, one hundred twenty-two million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 19710 39420 79201 158402 237603 316804 396005 475206 712809 792010 950412 1188015 1425618 1584020 2138427 2376030 2851236 3564045 4276854 4752060 5781673 7128090 8553708 10692135 11563346 14256180 17345019 21384270 23126692 28908365 34690038 42768540 52035057 57816730 69380076 86725095 104070114 115633460 156105171 173450190 208140228 260175285 312210342 346900380 520350570 624420684 780525855 1040701140 1561051710 3122103420