Search a number
-
+
10112501420532 = 22327613177092927
BaseRepresentation
bin1001001100101000000000…
…0011100001000111110100
31022210202010121111120002100
42103022000003201013310
52311140400330424112
633301341412542100
72062414132551060
oct223120003410764
938722117446070
1010112501420532
113249762468425
121173a54321930
135847b2961304
1426d63a612aa0
151280b19472dc
hex932800e11f4

10112501420532 has 288 divisors, whose sum is σ = 29838680202240. Its totient is φ = 2827993512960.

The previous prime is 10112501420519. The next prime is 10112501420543. The reversal of 10112501420532 is 23502410521101.

It is a happy number.

10112501420532 is a `hidden beast` number, since 1 + 0 + 1 + 125 + 0 + 1 + 4 + 2 + 0 + 532 = 666.

It is a super-2 number, since 2×101125014205322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112501420496 and 10112501420505.

It is a congruent number.

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, 3454901653 + ... + 3454904579.

It is an arithmetic number, because the mean of its divisors is an integer number (103606528480).

Almost surely, 210112501420532 is an apocalyptic number.

10112501420532 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 10112501420532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919340101120).

10112501420532 is an abundant number, since it is smaller than the sum of its proper divisors (19726178781708).

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

10112501420532 is a wasteful number, since it uses less digits than its factorization.

10112501420532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10112501420532 its reverse (23502410521101), we get a palindrome (33614911941633).

The spelling of 10112501420532 in words is "ten trillion, one hundred twelve billion, five hundred one million, four hundred twenty thousand, five hundred thirty-two".