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211101320130 = 23571911108791
BaseRepresentation
bin1100010010011010011…
…1101000001111000010
3202011220000101011211020
43010212213220033002
511424313414221010
6240551213530310
721152200420551
oct3044647501702
9664800334736
10211101320130
1181589212338
1234ab54a3996
1316ba323015c
14a308607d98
155757d79470
hex31269e83c2

211101320130 has 64 divisors (see below), whose sum is σ = 514347687936. Its totient is φ = 55439384000.

The previous prime is 211101320107. The next prime is 211101320147. The reversal of 211101320130 is 31023101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886035 + ... + 1994825.

It is an arithmetic number, because the mean of its divisors is an integer number (8036682624).

Almost surely, 2211101320130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211101320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257173843968).

211101320130 is an abundant number, since it is smaller than the sum of its proper divisors (303246367806).

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

211101320130 is a wasteful number, since it uses less digits than its factorization.

211101320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109783.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211101320130 its reverse (31023101112), we get a palindrome (242124421242).

The spelling of 211101320130 in words is "two hundred eleven billion, one hundred one million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 911 1065 1822 2130 2733 4555 5466 9110 13665 27330 64681 108791 129362 194043 217582 323405 326373 388086 543955 646810 652746 970215 1087910 1631865 1940430 3263730 7724161 15448322 23172483 38620805 46344966 77241610 99108601 115862415 198217202 231724830 297325803 495543005 594651606 991086010 1486629015 2973258030 7036710671 14073421342 21110132013 35183553355 42220264026 70367106710 105550660065 211101320130