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1001211331302 = 2327136713965633
BaseRepresentation
bin11101001000111001101…
…10001000001011100110
310112201022010202102122100
432210130312020023212
5112400440100100202
62043541121312530
7132222643620120
oct16443466101346
93481263672570
101001211331302
1135667a771046
1214205b795746
137354c229820
143665d286210
151b09cc8e41c
hexe91cd882e6

1001211331302 has 192 divisors, whose sum is σ = 2729282250240. Its totient is φ = 258239342592.

The previous prime is 1001211331291. The next prime is 1001211331319. The reversal of 1001211331302 is 2031331121001.

1001211331302 is a `hidden beast` number, since 10 + 0 + 1 + 21 + 1 + 331 + 302 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15221878 + ... + 15287510.

It is an arithmetic number, because the mean of its divisors is an integer number (14215011720).

Almost surely, 21001211331302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001211331302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364641125120).

1001211331302 is an abundant number, since it is smaller than the sum of its proper divisors (1728070918938).

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

1001211331302 is a wasteful number, since it uses less digits than its factorization.

1001211331302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65867 (or 65864 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001211331302 its reverse (2031331121001), we get a palindrome (3032542452303).

The spelling of 1001211331302 in words is "one trillion, one billion, two hundred eleven million, three hundred thirty-one thousand, three hundred two".