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1302212200200 = 2335220873103979
BaseRepresentation
bin10010111100110001111…
…001010100011100001000
311121111020101222212101220
4102330301321110130020
5132313412310401300
62434121130442040
7163040014032552
oct22746171243410
94544211885356
101302212200200
114622a0924a1a
12190464293320
1395a4b50ac42
14470552c04d2
1523d18251da0
hex12f31e54708

1302212200200 has 96 divisors (see below), whose sum is σ = 4037090047200. Its totient is φ = 347236610560.

The previous prime is 1302212200183. The next prime is 1302212200229. The reversal of 1302212200200 is 20022122031.

It is a happy number.

It is a super-2 number, since 2×13022122002002 (a number of 25 digits) contains 22 as substring.

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 1302212200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12471811 + ... + 12575789.

It is an arithmetic number, because the mean of its divisors is an integer number (42053021325).

Almost surely, 21302212200200 is an apocalyptic number.

1302212200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302212200200 is an abundant number, since it is smaller than the sum of its proper divisors (2734877847000).

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

1302212200200 is a wasteful number, since it uses less digits than its factorization.

1302212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124871 (or 124862 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1302212200200 its reverse (20022122031), we get a palindrome (1322234322231).

The spelling of 1302212200200 in words is "one trillion, three hundred two billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20873 41746 62619 83492 103979 104365 125238 166984 207958 208730 250476 311937 313095 415916 417460 500952 519895 521825 623874 626190 831832 834920 1039790 1043650 1247748 1252380 1559685 1565475 2079580 2087300 2495496 2504760 2599475 3119370 3130950 4159160 4174600 5198950 6238740 6261900 7798425 10397900 12477480 12523800 15596850 20795800 31193700 62387400 2170353667 4340707334 6511061001 8681414668 10851768335 13022122002 17362829336 21703536670 26044244004 32555305005 43407073340 52088488008 54258841675 65110610010 86814146680 108517683350 130221220020 162776525025 217035366700 260442440040 325553050050 434070733400 651106100100 1302212200200