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10112013103332 = 22371761892913001
BaseRepresentation
bin1001001100100110001011…
…1100101111000011100100
31022210200212120122110211010
42103021202330233003210
52311133400323301312
633301221130342220
72062366053122550
oct223114274570344
938720776573733
1010112013103332
113249531860498
12117393888a970
13584735739a1a
1426d5d181c860
15128083b3a93c
hex93262f2f0e4

10112013103332 has 192 divisors, whose sum is σ = 29025107274240. Its totient is φ = 2674114560000.

The previous prime is 10112013103331. The next prime is 10112013103333. The reversal of 10112013103332 is 23330131021101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10112013103331) and next prime (10112013103333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10112013103299 and 10112013103308.

It is not an unprimeable number, because it can be changed into a prime (10112013103331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777780832 + ... + 777793832.

It is an arithmetic number, because the mean of its divisors is an integer number (151172433720).

Almost surely, 210112013103332 is an apocalyptic number.

10112013103332 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 10112013103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512553637120).

10112013103332 is an abundant number, since it is smaller than the sum of its proper divisors (18913094170908).

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

10112013103332 is a wasteful number, since it uses less digits than its factorization.

10112013103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22022 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10112013103332 its reverse (23330131021101), we get a palindrome (33442144124433).

The spelling of 10112013103332 in words is "ten trillion, one hundred twelve billion, thirteen million, one hundred three thousand, three hundred thirty-two".