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13212112200 = 2335273145741
BaseRepresentation
bin11000100111000000…
…01101010101001000
31021002202220211200220
430103200031111020
5204024300042300
610023005230040
7645260046360
oct142340152510
937082824626
1013212112200
11566a9904a1
122688862320
13132730a091
148d49c19a0
15524d9eda0
hex31380d548

13212112200 has 96 divisors (see below), whose sum is σ = 46808640960. Its totient is φ = 3019910400.

The previous prime is 13212112187. The next prime is 13212112201. The reversal of 13212112200 is 221121231.

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 13212112200.

It is not an unprimeable number, because it can be changed into a prime (13212112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1568671 + ... + 1577070.

It is an arithmetic number, because the mean of its divisors is an integer number (487590010).

Almost surely, 213212112200 is an apocalyptic number.

13212112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212112200 is an abundant number, since it is smaller than the sum of its proper divisors (33596528760).

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

13212112200 is a wasteful number, since it uses less digits than its factorization.

13212112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145767 (or 3145758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13212112200 its reverse (221121231), we get a palindrome (13433233431).

The spelling of 13212112200 in words is "thirteen billion, two hundred twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 3145741 6291482 9437223 12582964 15728705 18874446 22020187 25165928 31457410 37748892 44040374 47186115 62914820 66060561 75497784 78643525 88080748 94372230 110100935 125829640 132121122 157287050 176161496 188744460 220201870 235930575 264242244 314574100 330302805 377488920 440403740 471861150 528484488 550504675 629148200 660605610 880807480 943722300 1101009350 1321211220 1651514025 1887444600 2202018700 2642422440 3303028050 4404037400 6606056100 13212112200