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3122310114 = 2327112977681
BaseRepresentation
bin1011101000011010…
…1010101111100010
322001121011210021100
42322012222233202
522343302410424
61233453535230
7140242124640
oct27206525742
98047153240
103122310114
11136250a890
127317a4516
133a9b39aa1
14218964190
151341a3dc9
hexba1aabe2

3122310114 has 96 divisors (see below), whose sum is σ = 8725242240. Its totient is φ = 783014400.

The previous prime is 3122310089. The next prime is 3122310131. The reversal of 3122310114 is 4110132213.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354 + ... + 79034.

It is an arithmetic number, because the mean of its divisors is an integer number (90887940).

Almost surely, 23122310114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122310114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362621120).

3122310114 is an abundant number, since it is smaller than the sum of its proper divisors (5602932126).

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

3122310114 is a wasteful number, since it uses less digits than its factorization.

3122310114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77736 (or 77733 counting only the distinct ones).

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

The square root of 3122310114 is about 55877.6351861816. The cubic root of 3122310114 is about 1461.5892673906.

Adding to 3122310114 its reverse (4110132213), we get a palindrome (7232442327).

It can be divided in two parts, 3122 and 310114, that added together give a triangular number (313236 = T791).

The spelling of 3122310114 in words is "three billion, one hundred twenty-two million, three hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 2233 2871 3654 4466 5742 6699 13398 20097 40194 77681 155362 233043 466086 543767 699129 854491 1087534 1398258 1631301 1708982 2252749 2563473 3262602 4505498 4893903 5126946 5981437 6758247 7690419 9787806 11962874 13516494 15380838 15769243 17944311 20274741 24780239 31538486 35888622 40549482 47307729 49560478 53832933 74340717 94615458 107665866 141923187 148681434 173461673 223022151 283846374 346923346 446044302 520385019 1040770038 1561155057 3122310114