Search a number
-
+
1122423142200 = 2335237419712713
BaseRepresentation
bin10000010101010101101…
…000011111011100111000
310222022011121011102011220
4100111111220133130320
5121342210311022300
62215344543152040
7144043456201653
oct20252550373470
93868147142156
101122423142200
113a3020669678
121616492a5620
1381ac84b2259
143c47b51489a
151e2e4314da0
hex10555a1f738

1122423142200 has 384 divisors, whose sum is σ = 3698742640320. Its totient is φ = 281169100800.

The previous prime is 1122423142171. The next prime is 1122423142201. The reversal of 1122423142200 is 22413242211.

It is a super-2 number, since 2×11224231422002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122423142201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88283044 + ... + 88295756.

Almost surely, 21122423142200 is an apocalyptic number.

1122423142200 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 1122423142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849371320160).

1122423142200 is an abundant number, since it is smaller than the sum of its proper divisors (2576319498120).

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

1122423142200 is a wasteful number, since it uses less digits than its factorization.

1122423142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12907 (or 12898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1122423142200 its reverse (22413242211), we get a palindrome (1144836384411).

The spelling of 1122423142200 in words is "one trillion, one hundred twenty-two billion, four hundred twenty-three million, one hundred forty-two thousand, two hundred".