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1010233133100 = 223252192314091823
BaseRepresentation
bin11101011001101101001…
…01100100100000101100
310120120120212212110002200
432230312211210200230
5113022424140224400
62052032242021500
7132662342643222
oct16546645444054
93516525773080
101010233133100
1135a48a2a3294
12143959047890
1374359371399
1436c77534b12
151b429d25b00
hexeb3696482c

1010233133100 has 432 divisors, whose sum is σ = 3482477107200. Its totient is φ = 243813335040.

The previous prime is 1010233133093. The next prime is 1010233133101. The reversal of 1010233133100 is 13313320101.

It is a happy number.

1010233133100 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 331 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×10102331331002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010233133101) 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 143 ways as a sum of consecutive naturals, for example, 554158789 + ... + 554160611.

It is an arithmetic number, because the mean of its divisors is an integer number (8061289600).

Almost surely, 21010233133100 is an apocalyptic number.

1010233133100 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 1010233133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741238553600).

1010233133100 is an abundant number, since it is smaller than the sum of its proper divisors (2472243974100).

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

1010233133100 is a wasteful number, since it uses less digits than its factorization.

1010233133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1010233133100 its reverse (13313320101), we get a palindrome (1023546453201).

The spelling of 1010233133100 in words is "one trillion, ten billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred".