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1031022012132 = 22327194735312979
BaseRepresentation
bin11110000000011011011…
…00110110011011100100
310122120020200210220221100
433000031230312123210
5113343013113342012
62105351151520100
7134326454335050
oct17001554663344
93576220726840
101031022012132
11368288057852
1214799b229030
13762c0307038
1437c8a4ccc60
151bc44e6d8dc
hexf00db366e4

1031022012132 has 288 divisors, whose sum is σ = 3211297689600. Its totient is φ = 272341149696.

The previous prime is 1031022012127. The next prime is 1031022012157. The reversal of 1031022012132 is 2312102201301.

1031022012132 is a `hidden beast` number, since 1 + 0 + 310 + 220 + 1 + 2 + 132 = 666.

1031022012132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79431219 + ... + 79444197.

It is an arithmetic number, because the mean of its divisors is an integer number (11150339200).

Almost surely, 21031022012132 is an apocalyptic number.

1031022012132 is a gapful number since it is divisible by the number (12) 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 1031022012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605648844800).

1031022012132 is an abundant number, since it is smaller than the sum of its proper divisors (2180275677468).

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

1031022012132 is a wasteful number, since it uses less digits than its factorization.

1031022012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13415 (or 13410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1031022012132 its reverse (2312102201301), we get a palindrome (3343124213433).

The spelling of 1031022012132 in words is "one trillion, thirty-one billion, twenty-two million, twelve thousand, one hundred thirty-two".