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11412310000 = 245471312541
BaseRepresentation
bin10101010000011101…
…00000011111110000
31002110100021102020011
422220032200133300
5141333022410000
65124233224304
7552544014550
oct125016403760
932410242204
1011412310000
114926a51463
122265b62094
1310cb489070
147a395b160
1546bd852ba
hex2a83a07f0

11412310000 has 200 divisors, whose sum is σ = 34009288544. Its totient is φ = 3611520000.

The previous prime is 11412309991. The next prime is 11412310009. The reversal of 11412310000 is 1321411.

It is an interprime number because it is at equal distance from previous prime (11412309991) and next prime (11412310009).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×114123100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412310009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 903730 + ... + 916270.

Almost surely, 211412310000 is an apocalyptic number.

11412310000 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 11412310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004644272).

11412310000 is an abundant number, since it is smaller than the sum of its proper divisors (22596978544).

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

11412310000 is a wasteful number, since it uses less digits than its factorization.

11412310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11412310000 its reverse (1321411), we get a palindrome (11413631411).

The spelling of 11412310000 in words is "eleven billion, four hundred twelve million, three hundred ten thousand".