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13132212213200 = 24522313710419083
BaseRepresentation
bin1011111100011001010011…
…0110000001010111010000
31201111102112110002211220112
42333012110312001113100
53210124232311310300
643532504403100452
72523525314023043
oct277062466012720
951442473084815
1013132212213200
1142033814903a3
12158113b371728
13743492c79632
1433586122ac5a
1517b8eb82ae35
hexbf194d815d0

13132212213200 has 120 divisors (see below), whose sum is σ = 33162193965888. Its totient is φ = 4987822935040.

The previous prime is 13132212213193. The next prime is 13132212213209. The reversal of 13132212213200 is 231221223131.

It is a super-2 number, since 2×131322122132002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132212213209) 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, 3949142 + ... + 6469941.

Almost surely, 213132212213200 is an apocalyptic number.

13132212213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132212213200 is an abundant number, since it is smaller than the sum of its proper divisors (20029981752688).

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

13132212213200 is a wasteful number, since it uses less digits than its factorization.

13132212213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10419261 (or 10419250 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13132212213200 its reverse (231221223131), we get a palindrome (13363433436331).

The spelling of 13132212213200 in words is "thirteen trillion, one hundred thirty-two billion, two hundred twelve million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 137 184 200 230 274 368 400 460 548 575 685 920 1096 1150 1370 1840 2192 2300 2740 3151 3425 4600 5480 6302 6850 9200 10960 12604 13700 15755 25208 27400 31510 50416 54800 63020 78775 126040 157550 252080 315100 630200 1260400 10419083 20838166 41676332 52095415 83352664 104190830 166705328 208381660 239638909 260477075 416763320 479277818 520954150 833526640 958555636 1041908300 1198194545 1427414371 1917111272 2083816600 2396389090 2854828742 3834222544 4167633200 4792778180 5709657484 5990972725 7137071855 9585556360 11419314968 11981945450 14274143710 19171112720 22838629936 23963890900 28548287420 32830530533 35685359275 47927781800 57096574840 65661061066 71370718550 95855563600 114193149680 131322122132 142741437100 164152652665 262644244264 285482874200 328305305330 525288488528 570965748400 656610610660 820763263325 1313221221320 1641526526650 2626442442640 3283053053300 6566106106600 13132212213200