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310121220030 = 235149451315373
BaseRepresentation
bin1001000001101001010…
…10100100011110111110
31002122110212210021111020
410200310222210132332
520040112013020110
6354245010005010
731256043606426
oct4406452443676
91078425707436
10310121220030
1110a581386756
125012ab76766
132332397c3bb
141101d41b486
158101013d70
hex4834aa47be

310121220030 has 64 divisors (see below), whose sum is σ = 749500948800. Its totient is φ = 82120421376.

The previous prime is 310121220011. The next prime is 310121220037. The reversal of 310121220030 is 30022121013.

It is a super-2 number, since 2×3101212200302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 310121219991 and 310121220009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310121220037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20165424 + ... + 20180796.

It is an arithmetic number, because the mean of its divisors is an integer number (11710952325).

Almost surely, 2310121220030 is an apocalyptic number.

310121220030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

310121220030 is an abundant number, since it is smaller than the sum of its proper divisors (439379728770).

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

310121220030 is a wasteful number, since it uses less digits than its factorization.

310121220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20045.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 310121220030 its reverse (30022121013), we get a palindrome (340143341043).

The spelling of 310121220030 in words is "three hundred ten billion, one hundred twenty-one million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 149 298 447 745 894 1490 2235 4470 4513 9026 13539 15373 22565 27078 30746 45130 46119 67695 76865 92238 135390 153730 230595 461190 672437 1344874 2017311 2290577 3362185 4034622 4581154 6724370 6871731 10086555 11452885 13743462 20173110 22905770 34358655 68717310 69378349 138756698 208135047 346891745 416270094 693783490 1040675235 2081350470 10337374001 20674748002 31012122003 51686870005 62024244006 103373740010 155060610015 310121220030