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3122124324 = 223111710713003
BaseRepresentation
bin1011101000010111…
…1101011000100100
322001120211100102020
42322011331120210
522343230434244
61233445543140
7140240422164
oct27205753044
98046740366
103122124324
1113623a3240
12731714ab0
133a9aa3357
142189165a4
15134168d19
hexba17d624

3122124324 has 96 divisors (see below), whose sum is σ = 8494004736. Its totient is φ = 882055680.

The previous prime is 3122124323. The next prime is 3122124329. The reversal of 3122124324 is 4234212213.

It is a happy number.

3122124324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3122124294 and 3122124303.

It is not an unprimeable number, because it can be changed into a prime (3122124323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233607 + ... + 246609.

It is an arithmetic number, because the mean of its divisors is an integer number (88479216).

Almost surely, 23122124324 is an apocalyptic number.

3122124324 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 3122124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247002368).

3122124324 is an abundant number, since it is smaller than the sum of its proper divisors (5371880412).

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

3122124324 is a wasteful number, since it uses less digits than its factorization.

3122124324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13145 (or 13143 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3122124324 is about 55875.9726895201. The cubic root of 3122124324 is about 1461.5602766705.

Adding to 3122124324 its reverse (4234212213), we get a palindrome (7356336537).

The spelling of 3122124324 in words is "three billion, one hundred twenty-two million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 107 132 187 204 214 321 374 428 561 642 748 1122 1177 1284 1819 2244 2354 3531 3638 4708 5457 7062 7276 10914 13003 14124 20009 21828 26006 39009 40018 52012 60027 78018 80036 120054 143033 156036 221051 240108 286066 429099 442102 572132 663153 858198 884204 1326306 1391321 1716396 2431561 2652612 2782642 4173963 4863122 5565284 7294683 8347926 9726244 14589366 15304531 16695852 23652457 29178732 30609062 45913593 47304914 61218124 70957371 91827186 94609828 141914742 183654372 260177027 283829484 520354054 780531081 1040708108 1561062162 3122124324