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12029435300 = 22523113927917
BaseRepresentation
bin10110011010000001…
…01001110110100100
31011001100111121222202
423031000221312210
5144114013412200
65305400314032
7604046340641
oct131500516644
934040447882
1012029435300
115113336873
1223b8772918
13119929c76c
148218c0dc8
154a61371d5
hex2cd029da4

12029435300 has 72 divisors (see below), whose sum is σ = 27140762880. Its totient is φ = 4622889600.

The previous prime is 12029435293. The next prime is 12029435311. The reversal of 12029435300 is 353492021.

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, 416942 + ... + 444858.

It is an arithmetic number, because the mean of its divisors is an integer number (376955040).

Almost surely, 212029435300 is an apocalyptic number.

12029435300 is a gapful number since it is divisible by the number (10) 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 12029435300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570381440).

12029435300 is an abundant number, since it is smaller than the sum of its proper divisors (15111327580).

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

12029435300 is a wasteful number, since it uses less digits than its factorization.

12029435300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28101 (or 28094 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 12029435300 in words is "twelve billion, twenty-nine million, four hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 139 155 278 310 556 620 695 775 1390 1550 2780 3100 3475 4309 6950 8618 13900 17236 21545 27917 43090 55834 86180 107725 111668 139585 215450 279170 430900 558340 697925 865427 1395850 1730854 2791700 3461708 3880463 4327135 7760926 8654270 15521852 17308540 19402315 21635675 38804630 43271350 77609260 86542700 97011575 120294353 194023150 240588706 388046300 481177412 601471765 1202943530 2405887060 3007358825 6014717650 12029435300