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3123434130 = 2351971113683
BaseRepresentation
bin1011101000101011…
…1101001010010010
322001200021220010120
42322022331022102
522344044343010
61233534011110
7140254515645
oct27212751222
98050256116
103123434130
111363108323
12732046a96
133aa14159b
14218b77a5c
15134326e70
hexba2bd292

3123434130 has 128 divisors (see below), whose sum is σ = 8084551680. Its totient is φ = 769950720.

The previous prime is 3123434101. The next prime is 3123434141. The reversal of 3123434130 is 314343213.

3123434130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3123434130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4572769 + ... + 4573451.

It is an arithmetic number, because the mean of its divisors is an integer number (63160560).

Almost surely, 23123434130 is an apocalyptic number.

3123434130 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 3123434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042275840).

3123434130 is an abundant number, since it is smaller than the sum of its proper divisors (4961117550).

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

3123434130 is a wasteful number, since it uses less digits than its factorization.

3123434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3123434130 is about 55887.6921155275. The cubic root of 3123434130 is about 1461.7646346200.

Adding to 3123434130 its reverse (314343213), we get a palindrome (3437777343).

The spelling of 3123434130 in words is "three billion, one hundred twenty-three million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 113 114 142 190 213 226 285 339 355 426 565 570 678 683 710 1065 1130 1349 1366 1695 2049 2130 2147 2698 3390 3415 4047 4098 4294 6441 6745 6830 8023 8094 10245 10735 12882 12977 13490 16046 20235 20490 21470 24069 25954 32205 38931 40115 40470 48138 48493 64410 64885 77179 77862 80230 96986 120345 129770 145479 152437 154358 194655 231537 240690 242465 290958 304874 385895 389310 457311 463074 484930 727395 762185 771790 914622 921367 1157685 1454790 1466401 1524370 1842734 2286555 2315370 2764101 2932802 4399203 4573110 4606835 5479709 5528202 7332005 8798406 9213670 10959418 13820505 14664010 16439127 21996015 27398545 27641010 32878254 43992030 54797090 82195635 104114471 164391270 208228942 312343413 520572355 624686826 1041144710 1561717065 3123434130