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312001203220 = 225729186741161
BaseRepresentation
bin1001000101001001011…
…10001000110000010100
31002211022220022022121021
410202210232020300110
520102434302000340
6355155324330524
731353452320120
oct4424456106024
91084286268537
10312001203220
111103565aa973
12505746a3a44
13235632c4ca5
141115ad94580
1581b10bae4a
hex48a4b88c14

312001203220 has 96 divisors (see below), whose sum is σ = 775057409280. Its totient is φ = 103225328640.

The previous prime is 312001203211. The next prime is 312001203229. The reversal of 312001203220 is 22302100213.

It is an interprime number because it is at equal distance from previous prime (312001203211) and next prime (312001203229).

It is a junction number, because it is equal to n+sod(n) for n = 312001203194 and 312001203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001203229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7559440 + ... + 7600600.

It is an arithmetic number, because the mean of its divisors is an integer number (8073514680).

Almost surely, 2312001203220 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 312001203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387528704640).

312001203220 is an abundant number, since it is smaller than the sum of its proper divisors (463056206060).

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

312001203220 is a wasteful number, since it uses less digits than its factorization.

312001203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43073 (or 43071 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312001203220 its reverse (22302100213), we get a palindrome (334303303433).

The spelling of 312001203220 in words is "three hundred twelve billion, one million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1867 2030 3734 4060 7468 9335 13069 18670 26138 37340 41161 52276 54143 65345 82322 108286 130690 164644 205805 216572 261380 270715 288127 379001 411610 541430 576254 758002 823220 1082860 1152508 1193669 1440635 1516004 1895005 2387338 2881270 3790010 4774676 5762540 5968345 7580020 8355683 11936690 16711366 23873380 33422732 41778415 76847587 83556830 153695174 167113660 307390348 384237935 537933109 768475870 1075866218 1536951740 2151732436 2228580023 2689665545 4457160046 5379331090 8914320092 10758662180 11142900115 15600060161 22285800230 31200120322 44571600460 62400240644 78000300805 156000601610 312001203220