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13122130200 = 2335223950879
BaseRepresentation
bin11000011100010001…
…11101000100011000
31020212111121021121020
430032020331010120
5203333231131300
610010032442440
7643115160234
oct141610750430
936774537536
1013122130200
115624111703
1226626a9420
1313117933aa
148c6a7b5c4
1551c0288a0
hex30e23d118

13122130200 has 96 divisors (see below), whose sum is σ = 42447283200. Its totient is φ = 3347090560.

The previous prime is 13122130171. The next prime is 13122130201. The reversal of 13122130200 is 203122131.

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 13122130200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461640 + ... + 489239.

It is an arithmetic number, because the mean of its divisors is an integer number (442159200).

Almost surely, 213122130200 is an apocalyptic number.

13122130200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122130200 is an abundant number, since it is smaller than the sum of its proper divisors (29325153000).

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

13122130200 is a wasteful number, since it uses less digits than its factorization.

13122130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950921 (or 950912 counting only the distinct ones).

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

Adding to 13122130200 its reverse (203122131), we get a palindrome (13325252331).

The spelling of 13122130200 in words is "thirteen billion, one hundred twenty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 950879 1901758 2852637 3803516 4754395 5705274 7607032 9508790 11410548 14263185 19017580 21870217 22821096 23771975 28526370 38035160 43740434 47543950 57052740 65610651 71315925 87480868 95087900 109351085 114105480 131221302 142631850 174961736 190175800 218702170 262442604 285263700 328053255 437404340 524885208 546755425 570527400 656106510 874808680 1093510850 1312213020 1640266275 2187021700 2624426040 3280532550 4374043400 6561065100 13122130200