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211142010304 = 2629173657583
BaseRepresentation
bin1100010010100100001…
…0110110010111000000
3202011222211221110020201
43010221002312113000
511424404323312204
6240555230014544
721153203322031
oct3045102662700
9664884843221
10211142010304
11815aa184485
1234b07047454
1316bab7a8b94
14a30db9aa88
15575b7159a4
hex31290b65c0

211142010304 has 56 divisors (see below), whose sum is σ = 435938736960. Its totient is φ = 101341277184.

The previous prime is 211142010293. The next prime is 211142010311. The reversal of 211142010304 is 403010241112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7704 + ... + 649879.

Almost surely, 2211142010304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211142010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217969368480).

211142010304 is an abundant number, since it is smaller than the sum of its proper divisors (224796726656).

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

211142010304 is a wasteful number, since it uses less digits than its factorization.

211142010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657797 (or 657787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 211142010304 its reverse (403010241112), we get a palindrome (614152251416).

The spelling of 211142010304 in words is "two hundred eleven billion, one hundred forty-two million, ten thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 173 232 346 464 692 928 1384 1856 2768 5017 5536 10034 11072 20068 40136 80272 160544 321088 657583 1315166 2630332 5260664 10521328 19069907 21042656 38139814 42085312 76279628 113761859 152559256 227523718 305118512 455047436 610237024 910094872 1220474048 1820189744 3299093911 3640379488 6598187822 7280758976 13196375644 26392751288 52785502576 105571005152 211142010304