Search a number
-
+
123103021300 = 22527467376577
BaseRepresentation
bin111001010100110000…
…0110000100011110100
3102202202021001102111021
41302221200300203310
54004103333140200
6132315220550524
711615415262510
oct1625140604364
9382667042437
10123103021300
114823149aa36
121ba36b52444
13b7bb02c64c
145d5b4c9140
1533075e941a
hex1ca98308f4

123103021300 has 72 divisors (see below), whose sum is σ = 305950042944. Its totient is φ = 42116259840.

The previous prime is 123103021297. The next prime is 123103021313. The reversal of 123103021300 is 3120301321.

123103021300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138612 + ... + 515188.

It is an arithmetic number, because the mean of its divisors is an integer number (4249306152).

Almost surely, 2123103021300 is an apocalyptic number.

123103021300 is a gapful number since it is divisible by the number (10) 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 123103021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152975021472).

123103021300 is an abundant number, since it is smaller than the sum of its proper divisors (182847021644).

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

123103021300 is a wasteful number, since it uses less digits than its factorization.

123103021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377065 (or 377058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 123103021300 its reverse (3120301321), we get a palindrome (126223322621).

The spelling of 123103021300 in words is "one hundred twenty-three billion, one hundred three million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 467 700 934 1868 2335 3269 4670 6538 9340 11675 13076 16345 23350 32690 46700 65380 81725 163450 326900 376577 753154 1506308 1882885 2636039 3765770 5272078 7531540 9414425 10544156 13180195 18828850 26360390 37657700 52720780 65900975 131801950 175861459 263603900 351722918 703445836 879307295 1231030213 1758614590 2462060426 3517229180 4396536475 4924120852 6155151065 8793072950 12310302130 17586145900 24620604260 30775755325 61551510650 123103021300