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312020220120 = 23357371452643
BaseRepresentation
bin1001000101001011101…
…10101011100011011000
31002211101020002110212220
410202211312223203120
520103004134020440
6355201244104040
731354103053020
oct4424566534330
91084336073786
10312020220120
11110366309614
125057ab35020
1323567222aab
141115d704a80
1581b2ac58d0
hex48a5dab8d8

312020220120 has 64 divisors (see below), whose sum is σ = 1069783614720. Its totient is φ = 71318907264.

The previous prime is 312020220103. The next prime is 312020220133. The reversal of 312020220120 is 21022020213.

It is a happy number.

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 312020220120.

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 15 ways as a sum of consecutive naturals, for example, 185725482 + ... + 185727161.

It is an arithmetic number, because the mean of its divisors is an integer number (16715368980).

Almost surely, 2312020220120 is an apocalyptic number.

312020220120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312020220120 is an abundant number, since it is smaller than the sum of its proper divisors (757763394600).

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

312020220120 is a wasteful number, since it uses less digits than its factorization.

312020220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371452664 (or 371452660 counting only the distinct ones).

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

Adding to 312020220120 its reverse (21022020213), we get a palindrome (333042240333).

The spelling of 312020220120 in words is "three hundred twelve billion, twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 371452643 742905286 1114357929 1485810572 1857263215 2228715858 2600168501 2971621144 3714526430 4457431716 5200337002 5571789645 7429052860 7800505503 8914863432 10400674004 11143579290 13000842505 14858105720 15601011006 20801348008 22287158580 26001685010 31202022012 39002527515 44574317160 52003370020 62404044024 78005055030 104006740040 156010110060 312020220120