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312020313020 = 2251317683103357
BaseRepresentation
bin1001000101001011101…
…11000010001110111100
31002211101020021012022122
410202211313002032330
520103004200004040
6355201250102112
731354103620613
oct4424567021674
91084336235278
10312020313020
11110366372399
125057ab7a938
1323567256170
141115d72a87a
1581b2ae31b5
hex48a5dc23bc

312020313020 has 96 divisors (see below), whose sum is σ = 748255693248. Its totient is φ = 108270784512.

The previous prime is 312020313019. The next prime is 312020313061. The reversal of 312020313020 is 20313020213.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 312020313020.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2967182 + ... + 3070538.

It is an arithmetic number, because the mean of its divisors is an integer number (7794330138).

Almost surely, 2312020313020 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 312020313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374127846624).

312020313020 is an abundant number, since it is smaller than the sum of its proper divisors (436235380228).

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

312020313020 is a wasteful number, since it uses less digits than its factorization.

312020313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104079 (or 104077 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 312020313020 its reverse (20313020213), we get a palindrome (332333333233).

The spelling of 312020313020 in words is "three hundred twelve billion, twenty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 683 884 1105 1366 2210 2732 3415 4420 6830 8879 11611 13660 17758 23222 35516 44395 46444 58055 88790 103357 116110 150943 177580 206714 232220 301886 413428 516785 603772 754715 1033570 1343641 1509430 1757069 2067140 2687282 3018860 3514138 5374564 6718205 7028276 8785345 13436410 17570690 22841897 26872820 35141380 45683794 70592831 91367588 114209485 141185662 228418970 282371324 352964155 456837940 705928310 917706803 1200078127 1411856620 1835413606 2400156254 3670827212 4588534015 4800312508 6000390635 9177068030 12000781270 15601015651 18354136060 24001562540 31202031302 62404062604 78005078255 156010156510 312020313020