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232113102012300 = 223526712809901547
BaseRepresentation
bin110100110001101100001010…
…111111100011111110001100
31010102211210111011120012022010
4310301230022333203332030
5220410420113103343200
62141355141554221220
766614422022531145
oct6461541277437614
91112753434505263
10232113102012300
1167a5a682a01023
12220490a8284810
139c69230010312
144146496a02acc
151bc7bdb433150
hexd31b0afe3f8c

232113102012300 has 144 divisors (see below), whose sum is σ = 681658134837120. Its totient is φ = 60968166167040.

The previous prime is 232113102012299. The next prime is 232113102012391. The reversal of 232113102012300 is 3210201311232.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257010127 + ... + 257911673.

It is an arithmetic number, because the mean of its divisors is an integer number (4733737047480).

Almost surely, 2232113102012300 is an apocalyptic number.

232113102012300 is a gapful number since it is divisible by the number (20) 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 232113102012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340829067418560).

232113102012300 is an abundant number, since it is smaller than the sum of its proper divisors (449545032824820).

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

232113102012300 is a wasteful number, since it uses less digits than its factorization.

232113102012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914440 (or 914433 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 232113102012300 its reverse (3210201311232), we get a palindrome (235323303323532).

The spelling of 232113102012300 in words is "two hundred thirty-two trillion, one hundred thirteen billion, one hundred two million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 12809 20100 25618 38427 51236 64045 76854 128090 153708 192135 256180 320225 384270 640450 768540 858203 901547 960675 1280900 1716406 1803094 1921350 2574609 2704641 3432812 3606188 3842700 4291015 4507735 5149218 5409282 8582030 9015470 10298436 10818564 12873045 13523205 17164060 18030940 21455075 22538675 25746090 27046410 42910150 45077350 51492180 54092820 60403649 64365225 67616025 85820300 90154700 120807298 128730450 135232050 181210947 241614596 257460900 270464100 302018245 362421894 604036490 724843788 906054735 1208072980 1510091225 1812109470 3020182450 3624218940 4530273675 6040364900 9060547350 11547915523 18121094700 23095831046 34643746569 46191662092 57739577615 69287493138 115479155230 138574986276 173218732845 230958310460 288697888075 346437465690 577395776150 692874931380 773710340041 866093664225 1154791552300 1547420680082 1732187328450 2321131020123 3094841360164 3464374656900 3868551700205 4642262040246 7737103400410 9284524080492 11605655100615 15474206800820 19342758501025 23211310201230 38685517002050 46422620402460 58028275503075 77371034004100 116056551006150 232113102012300