Search a number
-
+
123033434320 = 2451537917929
BaseRepresentation
bin111001010010101011…
…1010011100011010000
3102202120102010001002201
41302211113103203100
54003433024344240
6132304253252544
711613611636146
oct1624527234320
9382512101081
10123033434320
11481a6191235
121ba17794154
13b7a97a6b14
145d52173596
153301450d9a
hex1ca55d38d0

123033434320 has 20 divisors (see below), whose sum is σ = 286052734980. Its totient is φ = 49213373696.

The previous prime is 123033434299. The next prime is 123033434339. The reversal of 123033434320 is 23434330321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46280056384 + 76753377936 = 215128^2 + 277044^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 768958885 + ... + 768959044.

It is an arithmetic number, because the mean of its divisors is an integer number (14302636749).

Almost surely, 2123033434320 is an apocalyptic number.

123033434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123033434320 is an abundant number, since it is smaller than the sum of its proper divisors (163019300660).

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

123033434320 is a wasteful number, since it uses less digits than its factorization.

123033434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537917942 (or 1537917936 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 123033434320 its reverse (23434330321), we get a palindrome (146467764641).

The spelling of 123033434320 in words is "one hundred twenty-three billion, thirty-three million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1537917929 3075835858 6151671716 7689589645 12303343432 15379179290 24606686864 30758358580 61516717160 123033434320