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12131333400 = 2335249141179
BaseRepresentation
bin10110100110001010…
…10111010100011000
31011022110020120220110
423103011113110120
5144321110132100
65323440324320
7606424426644
oct132305272430
934273216813
1012131333400
11516590437a
1224269136a0
1311b44291b4
14831247c24
154b0064250
hex2d3157518

12131333400 has 96 divisors (see below), whose sum is σ = 37684641600. Its totient is φ = 3228355200.

The previous prime is 12131333387. The next prime is 12131333411. The reversal of 12131333400 is 433313121.

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, 274011 + ... + 315189.

It is an arithmetic number, because the mean of its divisors is an integer number (392548350).

Almost surely, 212131333400 is an apocalyptic number.

12131333400 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 12131333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842320800).

12131333400 is an abundant number, since it is smaller than the sum of its proper divisors (25553308200).

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

12131333400 is a wasteful number, since it uses less digits than its factorization.

12131333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41689 (or 41680 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12131333400 its reverse (433313121), we get a palindrome (12564646521).

The spelling of 12131333400 in words is "twelve billion, one hundred thirty-one million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 491 600 982 1473 1964 2455 2946 3928 4910 5892 7365 9820 11784 12275 14730 19640 24550 29460 36825 41179 49100 58920 73650 82358 98200 123537 147300 164716 205895 247074 294600 329432 411790 494148 617685 823580 988296 1029475 1235370 1647160 2058950 2470740 3088425 4117900 4941480 6176850 8235800 12353700 20218889 24707400 40437778 60656667 80875556 101094445 121313334 161751112 202188890 242626668 303283335 404377780 485253336 505472225 606566670 808755560 1010944450 1213133340 1516416675 2021888900 2426266680 3032833350 4043777800 6065666700 12131333400