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321012111032340 = 223571319313472829
BaseRepresentation
bin100100011111101010111010…
…0110110001100000000010100
31120002121110100221212201002020
41020333111310312030000110
5314033430300411013330
63054422532234213140
7124421234236366140
oct11077256466140024
91502543327781066
10321012111032340
1193314520a00292
123000636a5841b0
1310a17409b230c0
14593b0d777c220
15271a3dd310210
hex123f574d8c014

321012111032340 has 1152 divisors, whose sum is σ = 1206973363814400. Its totient is φ = 61841803898880.

The previous prime is 321012111032299. The next prime is 321012111032351. The reversal of 321012111032340 is 43230111210123.

It is a self number, because there is not a number n which added to its sum of digits gives 321012111032340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 387228119046 + ... + 387228119874.

Almost surely, 2321012111032340 is an apocalyptic number.

321012111032340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321012111032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603486681907200).

321012111032340 is an abundant number, since it is smaller than the sum of its proper divisors (885961252782060).

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

321012111032340 is a wasteful number, since it uses less digits than its factorization.

321012111032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 321012111032340 its reverse (43230111210123), we get a palindrome (364242222242463).

The spelling of 321012111032340 in words is "three hundred twenty-one trillion, twelve billion, one hundred eleven million, thirty-two thousand, three hundred forty".