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3121058512 = 2411213269461
BaseRepresentation
bin1011101000000111…
…1001001011010000
322001111211012101201
42322001321023100
522342442333022
61233411040544
7140225362645
oct27201711320
98044735351
103121058512
111361835500
127312a0154
133a97bc1b0
14218719dcc
15134008127
hexba0792d0

3121058512 has 120 divisors (see below), whose sum is σ = 7200242280. Its totient is φ = 1301836800.

The previous prime is 3121058467. The next prime is 3121058537. The reversal of 3121058512 is 2158501213.

It can be written as a sum of positive squares in 4 ways, for example, as 76667536 + 3044390976 = 8756^2 + 55176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6769962 + ... + 6770422.

It is an arithmetic number, because the mean of its divisors is an integer number (60002019).

Almost surely, 23121058512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121058512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600121140).

3121058512 is an abundant number, since it is smaller than the sum of its proper divisors (4079183768).

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

3121058512 is a wasteful number, since it uses less digits than its factorization.

3121058512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 3121058512 is about 55866.4345739013. The cubic root of 3121058512 is about 1461.3939448601.

Adding to 3121058512 its reverse (2158501213), we get a palindrome (5279559725).

The spelling of 3121058512 in words is "three billion, one hundred twenty-one million, fifty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 269 286 461 484 538 572 922 968 1076 1144 1573 1844 1936 2152 2288 2959 3146 3497 3688 4304 5071 5918 5993 6292 6994 7376 10142 11836 11986 12584 13988 20284 23672 23972 25168 27976 32549 38467 40568 47344 47944 55781 55952 65098 65923 76934 81136 95888 111562 124009 130196 131846 153868 223124 248018 260392 263692 307736 423137 446248 496036 520784 527384 615472 725153 846274 892496 992072 1054768 1364099 1450306 1612117 1692548 1984144 2728198 2900612 3224234 3385096 5456396 5801224 6448468 6770192 10912792 11602448 12896936 15005089 17733287 21825584 25793872 30010178 35466574 60020356 70933148 120040712 141866296 195066157 240081424 283732592 390132314 780264628 1560529256 3121058512