150220052105310 has 320 divisors, whose sum is σ = 447288264808704. Its totient is φ = 35868153024000.

The previous prime is 150220052105309. The next prime is 150220052105329. The reversal of 150220052105310 is 13501250022051.

150220052105310 is a `hidden beast` number, since 1 + 50 + 2 + 20 + 0 + 52 + 10 + 531 + 0 = 666.

It is a super-2 number, since 2×150220052105310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5326749210 + ... + 5326777410.

Almost surely, 2^{150220052105310} is an apocalyptic number.

150220052105310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150220052105310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223644132404352).

150220052105310 is an abundant number, since it is smaller than the sum of its proper divisors (297068212703394).

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

150220052105310 is a wasteful number, since it uses less digits than its factorization.

150220052105310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37221 (or 37212 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 150220052105310 in words is "one hundred fifty trillion, two hundred twenty billion, fifty-two million, one hundred five thousand, three hundred ten".