Search a number
-
+
1121931000 = 233105319
BaseRepresentation
bin100001011011111…
…0100111011111000
32220012010000000000
41002313310323320
54244203243000
6303154513000
736542153601
oct10267647370
92805100000
101121931000
11526334403
12273895760
1314b58bcc8
14a900ada8
1568769000
hex42df4ef8

1121931000 has 352 divisors, whose sum is σ = 4145216400. Its totient is φ = 283435200.

The previous prime is 1121930993. The next prime is 1121931001. The reversal of 1121931000 is 1391211.

It is a super-2 number, since 2×11219310002 = 2517458337522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121931001) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 59048991 + ... + 59049009.

Almost surely, 21121931000 is an apocalyptic number.

1121931000 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 1121931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072608200).

1121931000 is an abundant number, since it is smaller than the sum of its proper divisors (3023285400).

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

1121931000 is an frugal number, since it uses more digits than its factorization.

1121931000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1121931000 is about 33495.2384675792. The cubic root of 1121931000 is about 1039.0953054447.

The spelling of 1121931000 in words is "one billion, one hundred twenty-one million, nine hundred thirty-one thousand".