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10211030010342 = 2327343138127851
BaseRepresentation
bin1001010010010111000011…
…0100010000100111100110
31100011011110020102112000100
42110211300310100213212
52314244142140312332
633414514334324530
72102502562005000
oct224456064204746
940134406375010
1010211030010342
113287523270247
12118ab71359746
13590b8567b925
14274306093370
1512a92b8d367c
hex94970d109e6

10211030010342 has 192 divisors, whose sum is σ = 26420540889600. Its totient is φ = 2847424104000.

The previous prime is 10211030010301. The next prime is 10211030010343. The reversal of 10211030010342 is 24301003011201.

10211030010342 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 10 + 300 + 10 + 342 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211030010343) 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 95 ways as a sum of consecutive naturals, for example, 366616717 + ... + 366644567.

It is an arithmetic number, because the mean of its divisors is an integer number (137606983800).

Almost surely, 210211030010342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211030010342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210270444800).

10211030010342 is an abundant number, since it is smaller than the sum of its proper divisors (16209510879258).

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

10211030010342 is a wasteful number, since it uses less digits than its factorization.

10211030010342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29304 (or 29287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10211030010342 its reverse (24301003011201), we get a palindrome (34512033021543).

The spelling of 10211030010342 in words is "ten trillion, two hundred eleven billion, thirty million, ten thousand, three hundred forty-two".