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1120130000400 = 24352472422563
BaseRepresentation
bin10000010011001100111…
…100110110011000010000
310222002020210012202000010
4100103030330312120100
5121323011240003100
62214325225154520
7143632602623235
oct20231474663020
93862223182003
101120130000400
113a2054202264
1216110932ba40
138182139b908
143c300b4d78c
151e20cd4a750
hex104ccf36610

1120130000400 has 180 divisors, whose sum is σ = 3666126388112. Its totient is φ = 292345294080.

The previous prime is 1120130000387. The next prime is 1120130000449. The reversal of 1120130000400 is 40000310211.

It is a happy number.

It is a super-2 number, since 2×11201300004002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2439519 + ... + 2862081.

Almost surely, 21120130000400 is an apocalyptic number.

1120130000400 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 1120130000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833063194056).

1120130000400 is an abundant number, since it is smaller than the sum of its proper divisors (2545996387712).

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

1120130000400 is a wasteful number, since it uses less digits than its factorization.

1120130000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422678 (or 422620 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1120130000400 its reverse (40000310211), we get a palindrome (1160130310611).

The spelling of 1120130000400 in words is "one trillion, one hundred twenty billion, one hundred thirty million, four hundred", and thus it is an aban number.