Search a number
-
+
1100230131000 = 23353711213191753
BaseRepresentation
bin10000000000101010110…
…100110111110100111000
310220011212221002122010010
4100000222310313310320
5121011232403143000
62201234434021520
7142326504544260
oct20005264676470
93804787078103
101100230131000
11394672253900
12159294a178a0
137c99c682070
143b373c907a0
151d945cacd50
hex1002ad37d38

1100230131000 has 1536 divisors, whose sum is σ = 4891083724800. Its totient is φ = 199812096000.

The previous prime is 1100230130999. The next prime is 1100230131037. The reversal of 1100230131000 is 1310320011.

It is a super-3 number, since 3×11002301310003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 627626124 + ... + 627627876.

It is an arithmetic number, because the mean of its divisors is an integer number (3184299300).

Almost surely, 21100230131000 is an apocalyptic number.

1100230131000 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 1100230131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445541862400).

1100230131000 is an abundant number, since it is smaller than the sum of its proper divisors (3790853593800).

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

1100230131000 is a wasteful number, since it uses less digits than its factorization.

1100230131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1100230131000 its reverse (1310320011), we get a palindrome (1101540451011).

The spelling of 1100230131000 in words is "one trillion, one hundred billion, two hundred thirty million, one hundred thirty-one thousand".