Search a number
-
+
1023110000040 = 2335234173123853
BaseRepresentation
bin11101110001101100001…
…10111010110110101000
310121210211021222001202110
432320312012322312220
5113230312130000130
62102002114002320
7133626422340312
oct16706606726650
93553737861673
101023110000040
11364997a16a87
121463515763a0
137562c09008b
14377397aa7b2
151b930553ab0
hexee361bada8

1023110000040 has 256 divisors, whose sum is σ = 3325866324480. Its totient is φ = 251112407040.

The previous prime is 1023109999991. The next prime is 1023110000057. The reversal of 1023110000040 is 400000113201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1023109999980 and 1023110000025.

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, 8198754 + ... + 8322606.

It is an arithmetic number, because the mean of its divisors is an integer number (12991665330).

Almost surely, 21023110000040 is an apocalyptic number.

1023110000040 is a gapful number since it is divisible by the number (10) 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 1023110000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662933162240).

1023110000040 is an abundant number, since it is smaller than the sum of its proper divisors (2302756324440).

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

1023110000040 is a wasteful number, since it uses less digits than its factorization.

1023110000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124004 (or 124000 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1023110000040 its reverse (400000113201), we get a palindrome (1423110113241).

The spelling of 1023110000040 in words is "one trillion, twenty-three billion, one hundred ten million, forty", and thus it is an aban number.