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3121225704 = 2333172413527
BaseRepresentation
bin1011101000001010…
…0001111111101000
322001112010200202000
42322002201333220
522343013210304
61233414411000
7140226660252
oct27202417750
98045120660
103121225704
11136193a083
12731360a60
133a984a31c
14218760cd2
1513403c939
hexba0a1fe8

3121225704 has 128 divisors (see below), whose sum is σ = 9220780800. Its totient is φ = 974868480.

The previous prime is 3121225699. The next prime is 3121225727. The reversal of 3121225704 is 4075221213.

3121225704 is digitally balanced in base 2, because in such base 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 (27).

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, 883189 + ... + 886715.

It is an arithmetic number, because the mean of its divisors is an integer number (72037350).

Almost surely, 23121225704 is an apocalyptic number.

3121225704 is a gapful number since it is divisible by the number (34) 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 3121225704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610390400).

3121225704 is an abundant number, since it is smaller than the sum of its proper divisors (6099555096).

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

3121225704 is a wasteful number, since it uses less digits than its factorization.

3121225704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3121225704 is about 55867.9309085275. The cubic root of 3121225704 is about 1461.4200395341.

Adding to 3121225704 its reverse (4075221213), we get a palindrome (7196446917).

The spelling of 3121225704 in words is "three billion, one hundred twenty-one million, two hundred twenty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 241 306 408 459 482 612 723 918 964 1224 1446 1836 1928 2169 2892 3527 3672 4097 4338 5784 6507 7054 8194 8676 10581 12291 13014 14108 16388 17352 21162 24582 26028 28216 31743 32776 36873 42324 49164 52056 59959 63486 73746 84648 95229 98328 110619 119918 126972 147492 179877 190458 221238 239836 253944 294984 359754 380916 442476 479672 539631 719508 761832 850007 884952 1079262 1439016 1618893 1700014 2158524 2550021 3237786 3400028 4317048 5100042 6475572 6800056 7650063 10200084 12951144 14450119 15300126 20400168 22950189 28900238 30600252 43350357 45900378 57800476 61200504 86700714 91800756 115600952 130051071 173401428 183601512 260102142 346802856 390153213 520204284 780306426 1040408568 1560612852 3121225704