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13120222200 = 2335237215973
BaseRepresentation
bin11000011100000011…
…01011001111111000
31020212101000100022120
430032001223033320
5203332234102300
610005523521240
7643063022451
oct141601531770
936771010276
1013120222200
115623029148
122661b29220
131311275ab7
148c6702128
1551bc9d3a0
hex30e06b3f8

13120222200 has 144 divisors (see below), whose sum is σ = 41804277480. Its totient is φ = 3403952640.

The previous prime is 13120222187. The next prime is 13120222201. The reversal of 13120222200 is 222202131.

It is a happy number.

13120222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13120222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120222201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 813414 + ... + 829386.

Almost surely, 213120222200 is an apocalyptic number.

13120222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902138740).

13120222200 is an abundant number, since it is smaller than the sum of its proper divisors (28684055280).

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

13120222200 is a wasteful number, since it uses less digits than its factorization.

13120222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066 (or 16020 counting only the distinct ones).

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

Adding to 13120222200 its reverse (222202131), we get a palindrome (13342424331).

The spelling of 13120222200 in words is "thirteen billion, one hundred twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1369 1480 1850 2220 2738 2775 3700 4107 4440 5476 5550 6845 7400 8214 10952 11100 13690 15973 16428 20535 22200 27380 31946 32856 34225 41070 47919 54760 63892 68450 79865 82140 95838 102675 127784 136900 159730 164280 191676 205350 239595 273800 319460 383352 399325 410700 479190 591001 638920 798650 821400 958380 1182002 1197975 1597300 1773003 1916760 2364004 2395950 2955005 3194600 3546006 4728008 4791900 5910010 7092012 8865015 9583800 11820020 14184024 14775025 17730030 21867037 23640040 29550050 35460060 43734074 44325075 59100100 65601111 70920120 87468148 88650150 109335185 118200200 131202222 174936296 177300300 218670370 262404444 328005555 354600600 437340740 524808888 546675925 656011110 874681480 1093351850 1312022220 1640027775 2186703700 2624044440 3280055550 4373407400 6560111100 13120222200