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3012133022200 = 235237774152583
BaseRepresentation
bin101011110101010001000…
…111100110100111111000
3101122221211201200122221201
4223311101013212213320
5343322322023202300
610223431012143544
7430422315146461
oct53652107464770
911587751618851
103012133022200
11a61490623955
12407931307bb4
1318b0733ca993
14a5b0645dd68
15535449dd66a
hex2bd511e69f8

3012133022200 has 96 divisors (see below), whose sum is σ = 7193551145760. Its totient is φ = 1172115878400.

The previous prime is 3012133022179. The next prime is 3012133022201. The reversal of 3012133022200 is 22203312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012133022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57257109 + ... + 57309691.

It is an arithmetic number, because the mean of its divisors is an integer number (74932824435).

Almost surely, 23012133022200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012133022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596775572880).

3012133022200 is an abundant number, since it is smaller than the sum of its proper divisors (4181418123560).

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

3012133022200 is a wasteful number, since it uses less digits than its factorization.

3012133022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60377 (or 60368 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3012133022200 its reverse (22203312103), we get a palindrome (3034336334303).

The spelling of 3012133022200 in words is "three trillion, twelve billion, one hundred thirty-three million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 7741 15482 30964 38705 52583 61928 77410 105166 154820 193525 210332 262915 286417 309640 387050 420664 525830 572834 774100 1051660 1145668 1314575 1432085 1548200 1945571 2103320 2291336 2629150 2864170 3891142 5258300 5728340 7160425 7782284 9727855 10516600 11456680 14320850 15564568 19455710 28641700 38911420 48639275 57283400 77822840 97278550 194557100 389114200 407045003 814090006 1628180012 2035225015 3256360024 4070450030 8140900060 10176125075 15060665111 16281800120 20352250150 30121330222 40704500300 60242660444 75303325555 81409000600 120485320888 150606651110 301213302220 376516627775 602426604440 753033255550 1506066511100 3012133022200