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13223201100210 = 23254571147128027
BaseRepresentation
bin1100000001101100010000…
…1101000101000110110010
31201211010101121202012222200
43000123010031011012302
53213122103440201320
644042353230444030
72533226151554103
oct300330415050662
951733347665880
1013223201100210
114238a23324982
1215968b3363616
1374bc3391774a
1433a0135c23aa
1517de748e1290
hexc06c43451b2

13223201100210 has 96 divisors (see below), whose sum is σ = 34459786513152. Its totient is φ = 3518038759680.

The previous prime is 13223201100209. The next prime is 13223201100223. The reversal of 13223201100210 is 1200110232231.

13223201100210 is a `hidden beast` number, since 1 + 3 + 22 + 320 + 110 + 0 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471788217 + ... + 471816243.

It is an arithmetic number, because the mean of its divisors is an integer number (358956109512).

Almost surely, 213223201100210 is an apocalyptic number.

13223201100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13223201100210 is an abundant number, since it is smaller than the sum of its proper divisors (21236585412942).

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

13223201100210 is a wasteful number, since it uses less digits than its factorization.

13223201100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39968 (or 39965 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13223201100210 its reverse (1200110232231), we get a palindrome (14423311332441).

The spelling of 13223201100210 in words is "thirteen trillion, two hundred twenty-three billion, two hundred one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 457 914 1371 2285 2742 4113 4570 6855 8226 11471 13710 20565 22942 28027 34413 41130 56054 57355 68826 84081 103239 114710 140135 168162 172065 206478 252243 280270 344130 420405 504486 516195 840810 1032390 1261215 2522430 5242247 10484494 12808339 15726741 25616678 26211235 31453482 38425017 47180223 52422470 64041695 76850034 78633705 94360446 115275051 128083390 157267410 192125085 230550102 235901115 321497717 384250170 471802230 576375255 642995434 964493151 1152750510 1607488585 1928986302 2893479453 3214977170 4822465755 5786958906 9644931510 14467397265 28934794530 146924456669 293848913338 440773370007 734622283345 881546740014 1322320110021 1469244566690 2203866850035 2644640220042 4407733700070 6611600550105 13223201100210