Search a number
-
+
312302231032 = 231119331564301
BaseRepresentation
bin1001000101101101010…
…10011101110111111000
31002212002212202010010111
410202312222131313320
520104043332343112
6355245240354104
731364066110201
oct4426652356770
91085085663114
10312302231032
111104a0516590
1250639475934
13235b079285c
1411188d545a8
1581cc72e5a7
hex48b6a9ddf8

312302231032 has 64 divisors (see below), whose sum is σ = 674453750400. Its totient is φ = 134077680000.

The previous prime is 312302231023. The next prime is 312302231057. The reversal of 312302231032 is 230132203213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312302230994 and 312302231012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271282 + ... + 835582.

It is an arithmetic number, because the mean of its divisors is an integer number (10538339850).

Almost surely, 2312302231032 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 312302231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337226875200).

312302231032 is an abundant number, since it is smaller than the sum of its proper divisors (362151519368).

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

312302231032 is a wasteful number, since it uses less digits than its factorization.

312302231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564668 (or 564664 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 312302231032 its reverse (230132203213), we get a palindrome (542434434245).

The spelling of 312302231032 in words is "three hundred twelve billion, three hundred two million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 331 418 662 836 1324 1672 2648 3641 6289 7282 12578 14564 25156 29128 50312 69179 138358 276716 553432 564301 1128602 2257204 4514408 6207311 10721719 12414622 21443438 24829244 42886876 49658488 85773752 117938909 186783631 235877818 373567262 471755636 747134524 943511272 1494269048 2054619941 3548888989 4109239882 7097777978 8218479764 14195555956 16436959528 28391111912 39037778879 78075557758 156151115516 312302231032