Search a number
-
+
1001130322200 = 23352131137239389
BaseRepresentation
bin11101001000110000000…
…01000110100100011000
310112201002111022202001020
432210120001012210120
5112400303330302300
62043525105122440
7132220641222021
oct16443001064430
93481074282036
101001130322200
11356638a70778
12142038629420
1373538505048
14366525d9c48
151b095adb8a0
hexe918046918

1001130322200 has 384 divisors, whose sum is σ = 3171332736000. Its totient is φ = 261222707200.

The previous prime is 1001130322189. The next prime is 1001130322237. The reversal of 1001130322200 is 22230311001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001130322200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2573599606 + ... + 2573599994.

It is an arithmetic number, because the mean of its divisors is an integer number (8258679000).

Almost surely, 21001130322200 is an apocalyptic number.

1001130322200 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 1001130322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585666368000).

1001130322200 is an abundant number, since it is smaller than the sum of its proper divisors (2170202413800).

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

1001130322200 is a wasteful number, since it uses less digits than its factorization.

1001130322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1001130322200 its reverse (22230311001), we get a palindrome (1023360633201).

The spelling of 1001130322200 in words is "one trillion, one billion, one hundred thirty million, three hundred twenty-two thousand, two hundred".