Search a number
-
+
1031012113032 = 233311975777753
BaseRepresentation
bin11110000000011010001…
…11000101101010001000
310122120020000011222221000
433000031013011222020
5113343003100104112
62105350155415000
7134326304235516
oct17001507055210
93576200158830
101031012113032
11368282506480
12147997a54460
13762bb24c395
1437c890734b6
151bc441657dc
hexf00d1c5a88

1031012113032 has 256 divisors, whose sum is σ = 3162366547200. Its totient is φ = 308631306240.

The previous prime is 1031012112997. The next prime is 1031012113081. The reversal of 1031012113032 is 2303112101301.

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

It is a junction number, because it is equal to n+sod(n) for n = 1031012112996 and 1031012113014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132978468 + ... + 132986220.

It is an arithmetic number, because the mean of its divisors is an integer number (12352994325).

Almost surely, 21031012113032 is an apocalyptic number.

1031012113032 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 1031012113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581183273600).

1031012113032 is an abundant number, since it is smaller than the sum of its proper divisors (2131354434168).

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

1031012113032 is a wasteful number, since it uses less digits than its factorization.

1031012113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8453 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031012113032 its reverse (2303112101301), we get a palindrome (3334124214333).

The spelling of 1031012113032 in words is "one trillion, thirty-one billion, twelve million, one hundred thirteen thousand, thirty-two".