Search a number
-
+
312203031320 = 23523887382583
BaseRepresentation
bin1001000101100001100…
…00000011001100011000
31002211211222002020201002
410202300300003030120
520103342434000240
6355231334244132
731361452660205
oct4426060031430
91084758066632
10312203031320
1111044a521354
12506101b6648
132359606c3bb
1411179ad0cac
1581c3b86d15
hex48b0c03318

312203031320 has 64 divisors (see below), whose sum is σ = 733826718720. Its totient is φ = 119316613504.

The previous prime is 312203031293. The next prime is 312203031323. The reversal of 312203031320 is 23130302213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 312203031292 and 312203031301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312203031323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624749 + ... + 1007331.

It is an arithmetic number, because the mean of its divisors is an integer number (11466042480).

Almost surely, 2312203031320 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 312203031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366913359360).

312203031320 is an abundant number, since it is smaller than the sum of its proper divisors (421623687400).

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

312203031320 is a wasteful number, since it uses less digits than its factorization.

312203031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383504 (or 383500 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312203031320 its reverse (23130302213), we get a palindrome (335333333533).

The spelling of 312203031320 in words is "three hundred twelve billion, two hundred three million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 887 920 1774 3548 4435 7096 8870 17740 20401 35480 40802 81604 102005 163208 204010 382583 408020 765166 816040 1530332 1912915 3060664 3825830 7651660 8799409 15303320 17598818 35197636 43997045 70395272 87994090 175988180 339351121 351976360 678702242 1357404484 1696755605 2714808968 3393511210 6787022420 7805075783 13574044840 15610151566 31220303132 39025378915 62440606264 78050757830 156101515660 312203031320