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3313022130 = 2325115875701
BaseRepresentation
bin1100010101111000…
…1011010010110010
322112220000221222100
43011132023102302
523241113202010
61304425321230
7145046136435
oct30536132262
98486027870
103313022130
111450129620
12785636216
1340a4c1632
1423600981c
15145cc62c0
hexc578b4b2

3313022130 has 96 divisors (see below), whose sum is σ = 9414595008. Its totient is φ = 801648000.

The previous prime is 3313022123. The next prime is 3313022137. The reversal of 3313022130 is 312203133.

3313022130 is a `hidden beast` number, since 331 + 302 + 2 + 1 + 30 = 666.

3313022130 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 an interprime number because it is at equal distance from previous prime (3313022123) and next prime (3313022137).

It is a super-2 number, since 2×33130221302 = 21952231267739473800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3313022137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578280 + ... + 583980.

It is an arithmetic number, because the mean of its divisors is an integer number (98068698).

Almost surely, 23313022130 is an apocalyptic number.

3313022130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707297504).

3313022130 is an abundant number, since it is smaller than the sum of its proper divisors (6101572878).

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

3313022130 is a wasteful number, since it uses less digits than its factorization.

3313022130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3313022130 is about 57558.8579629582. The cubic root of 3313022130 is about 1490.7613078680.

Adding to 3313022130 its reverse (312203133), we get a palindrome (3625225263).

The spelling of 3313022130 in words is "three billion, three hundred thirteen million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 587 990 1174 1761 2935 3522 5283 5701 5870 6457 8805 10566 11402 12914 17103 17610 19371 26415 28505 32285 34206 38742 51309 52830 57010 58113 62711 64570 85515 96855 102618 116226 125422 171030 188133 193710 256545 290565 313555 376266 513090 564399 581130 627110 940665 1128798 1881330 2821995 3346487 5643990 6692974 10039461 16732435 20078922 30118383 33464870 36811357 50197305 60236766 73622714 100394610 110434071 150591915 184056785 220868142 301183830 331302213 368113570 552170355 662604426 1104340710 1656511065 3313022130