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312002030220 = 223531929180563
BaseRepresentation
bin1001000101001001100…
…01010010101010001100
31002211022221212100000220
410202210301102222030
520102440004431340
6355155354151340
731353462333156
oct4424461225214
91084287770026
10312002030220
11110357015241
1250574a22550
132356352453a
141115b12bad6
1581b11d0ed0
hex48a4c52a8c

312002030220 has 96 divisors (see below), whose sum is σ = 902762219520. Its totient is φ = 80429537280.

The previous prime is 312002030167. The next prime is 312002030279. The reversal of 312002030220 is 22030200213.

It is a super-2 number, since 2×3120020302202 (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 self number, because there is not a number n which added to its sum of digits gives 312002030220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1637659 + ... + 1818221.

It is an arithmetic number, because the mean of its divisors is an integer number (9403773120).

Almost surely, 2312002030220 is an apocalyptic number.

312002030220 is a gapful number since it is divisible by the number (30) 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 312002030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451381109760).

312002030220 is an abundant number, since it is smaller than the sum of its proper divisors (590760189300).

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

312002030220 is a wasteful number, since it uses less digits than its factorization.

312002030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181535 (or 181533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 312002030220 its reverse (22030200213), we get a palindrome (334032230433).

The spelling of 312002030220 in words is "three hundred twelve billion, two million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 929 930 1858 1860 2787 3716 4645 5574 9290 11148 13935 18580 27870 28799 55740 57598 86397 115196 143995 172794 180563 287990 345588 361126 431985 541689 575980 722252 863970 902815 1083378 1727940 1805630 2166756 2708445 3611260 5416890 5597453 10833780 11194906 16792359 22389812 27987265 33584718 55974530 67169436 83961795 111949060 167743027 167923590 335486054 335847180 503229081 670972108 838715135 1006458162 1677430270 2012916324 2516145405 3354860540 5032290810 5200033837 10064581620 10400067674 15600101511 20800135348 26000169185 31200203022 52000338370 62400406044 78000507555 104000676740 156001015110 312002030220