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1123432431000 = 233531141830327
BaseRepresentation
bin10000010110010001110…
…010100111110110011000
310222101202221022121010120
4100112101302213312120
5121401242200243000
62220033035513240
7144110463050625
oct20262162476630
93871687277116
101123432431000
113a3499357250
1216188b2b8820
1381c29622369
143c53559d34c
151e352c2d6a0
hex10591ca7d98

1123432431000 has 256 divisors, whose sum is σ = 3917022520320. Its totient is φ = 265704320000.

The previous prime is 1123432430993. The next prime is 1123432431001. The reversal of 1123432431000 is 1342343211.

It is a happy number.

It is a super-2 number, since 2×11234324310002 (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 (1123432431001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937837 + ... + 1768163.

It is an arithmetic number, because the mean of its divisors is an integer number (15300869220).

Almost surely, 21123432431000 is an apocalyptic number.

1123432431000 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 1123432431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958511260160).

1123432431000 is an abundant number, since it is smaller than the sum of its proper divisors (2793590089320).

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

1123432431000 is a wasteful number, since it uses less digits than its factorization.

1123432431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830403 (or 830389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1123432431000 its reverse (1342343211), we get a palindrome (1124774774211).

The spelling of 1123432431000 in words is "one trillion, one hundred twenty-three billion, four hundred thirty-two million, four hundred thirty-one thousand".