Search a number
-
+
122300010300 = 223521328329063
BaseRepresentation
bin111000111100110100…
…1100000111100111100
3102200200022001020111010
41301321221200330330
54000432300312200
6132103413355220
711556464635536
oct1617151407474
9380608036433
10122300010300
114795a192986
121b852038b10
13b6c0864100
145cc29b8856
1532abd7a150
hex1c79a60f3c

122300010300 has 216 divisors, whose sum is σ = 387797929344. Its totient is φ = 29740888320.

The previous prime is 122300010281. The next prime is 122300010317. The reversal of 122300010300 is 3010003221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4193569 + ... + 4222631.

It is an arithmetic number, because the mean of its divisors is an integer number (1795360784).

Almost surely, 2122300010300 is an apocalyptic number.

122300010300 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 122300010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193898964672).

122300010300 is an abundant number, since it is smaller than the sum of its proper divisors (265497919044).

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

122300010300 is a wasteful number, since it uses less digits than its factorization.

122300010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29189 (or 29169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 122300010300 its reverse (3010003221), we get a palindrome (125310013521).

The spelling of 122300010300 in words is "one hundred twenty-two billion, three hundred million, ten thousand, three hundred".