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13012212300 = 22352173409613
BaseRepresentation
bin11000001111001011…
…01001101001001100
31020120211202212120220
430013211221221030
5203122111243200
65551104511340
7640311660003
oct140745515114
936524685526
1013012212300
11557806676a
12263191b550
1312c4a89509
148b6227c3a
155125654a0
hex307969a4c

13012212300 has 144 divisors (see below), whose sum is σ = 38020795680. Its totient is φ = 3435816960.

The previous prime is 13012212293. The next prime is 13012212331. The reversal of 13012212300 is 321221031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13012212300.

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, 21226794 + ... + 21227406.

Almost surely, 213012212300 is an apocalyptic number.

13012212300 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 13012212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010397840).

13012212300 is an abundant number, since it is smaller than the sum of its proper divisors (25008583380).

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

13012212300 is a wasteful number, since it uses less digits than its factorization.

13012212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13012212300 its reverse (321221031), we get a palindrome (13333433331).

The spelling of 13012212300 in words is "thirteen billion, twelve million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 409 519 613 692 818 865 1038 1226 1227 1636 1730 1839 2045 2076 2452 2454 2595 3065 3460 3678 4090 4325 4908 5190 6130 6135 7356 8180 8650 9195 10225 10380 12260 12270 12975 15325 17300 18390 20450 24540 25950 30650 30675 36780 40900 45975 51900 61300 61350 70757 91950 106049 122700 141514 183900 212098 212271 250717 283028 318147 353785 424196 424542 501434 530245 636294 707570 752151 849084 1002868 1060490 1061355 1253585 1272588 1415140 1504302 1590735 1768925 2120980 2122710 2507170 2651225 3008604 3181470 3537850 3760755 4245420 5014340 5302450 5306775 6267925 6362940 7075700 7521510 7953675 10604900 10613550 12535850 15043020 15907350 18803775 21227100 25071700 31814700 37607550 43374041 75215100 86748082 130122123 173496164 216870205 260244246 433740410 520488492 650610615 867480820 1084351025 1301221230 2168702050 2602442460 3253053075 4337404100 6506106150 13012212300