Search a number
-
+
150122002000000 = 27561719281827
BaseRepresentation
bin100010001000100100000000…
…100110100010100010000000
3201200112112010102202112122011
4202020210000212202202000
5124134044330003000000
61251141032354222304
743422646104510442
oct4210440046424200
9650475112675564
10150122002000000
1143919424502638
1214a06796884994
13659c5a074aa64
14290dd2d5bc492
1512550400402ba
hex8889009a2880

150122002000000 has 896 divisors, whose sum is σ = 418645672516800. Its totient is φ = 53286912000000.

The previous prime is 150122001999989. The next prime is 150122002000007. The reversal of 150122002000000 is 200221051.

It is not an unprimeable number, because it can be changed into a prime (150122002000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 181525999587 + ... + 181526000413.

Almost surely, 2150122002000000 is an apocalyptic number.

150122002000000 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 150122002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209322836258400).

150122002000000 is an abundant number, since it is smaller than the sum of its proper divisors (268523670516800).

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

150122002000000 is an frugal number, since it uses more digits than its factorization.

150122002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 150122002000000 its reverse (200221051), we get a palindrome (150122202221051).

The spelling of 150122002000000 in words is "one hundred fifty trillion, one hundred twenty-two billion, two million", and thus it is an aban number.