Search a number
-
+
1100630500632 = 233613591971249
BaseRepresentation
bin10000000001000010101…
…100001010010100011000
310220012220211110112000000
4100001002230022110120
5121013042402010012
62201342255213000
7142342435615545
oct20010254122430
93805824415000
101100630500632
113948582514a3
12159386b17160
137ca345c2980
143b3b110dbcc
151d96aee5ddc
hex10042b0a518

1100630500632 has 448 divisors, whose sum is σ = 3408520500000. Its totient is φ = 330960494592.

The previous prime is 1100630500561. The next prime is 1100630500639. The reversal of 1100630500632 is 2360050360011.

It is a super-2 number, since 2×11006305006322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1100630500596 and 1100630500605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100630500639) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 881208744 + ... + 881209992.

Almost surely, 21100630500632 is an apocalyptic number.

1100630500632 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 1100630500632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704260250000).

1100630500632 is an abundant number, since it is smaller than the sum of its proper divisors (2307889999368).

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

1100630500632 is a wasteful number, since it uses less digits than its factorization.

1100630500632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1100630500632 its reverse (2360050360011), we get a palindrome (3460680860643).

The spelling of 1100630500632 in words is "one trillion, one hundred billion, six hundred thirty million, five hundred thousand, six hundred thirty-two".