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1001213400 = 2335211295231
BaseRepresentation
bin111011101011010…
…100110111011000
32120202221220120210
4323223110313120
54022302312100
6243203251120
733545113335
oct7353246730
92522856523
101001213400
114741824a0
1223b379aa0
1312c573585
1496d8598c
155cd70c50
hex3bad4dd8

1001213400 has 192 divisors, whose sum is σ = 3503347200. Its totient is φ = 234304000.

The previous prime is 1001213393. The next prime is 1001213401. The reversal of 1001213400 is 43121001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001213401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188785 + ... + 194015.

It is an arithmetic number, because the mean of its divisors is an integer number (18246600).

Almost surely, 21001213400 is an apocalyptic number.

1001213400 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 1001213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751673600).

1001213400 is an abundant number, since it is smaller than the sum of its proper divisors (2502133800).

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

1001213400 is a wasteful number, since it uses less digits than its factorization.

1001213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5281 counting only the distinct ones).

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

The square root of 1001213400 is about 31641.9563238432. The cubic root of 1001213400 is about 1000.4043031836.

Adding to 1001213400 its reverse (43121001), we get a palindrome (1044334401).

The spelling of 1001213400 in words is "one billion, one million, two hundred thirteen thousand, four hundred".