Search a number
-
+
210101211011112 = 23371787156669419
BaseRepresentation
bin101111110001011000000000…
…000011001001100000101000
31000112220110221122020101120220
4233301120000003021200220
5210014244240004323422
62022503055221450040
762153211604246221
oct5761300003114050
91015813848211526
10210101211011112
1160a43472319aa3
121b693032570920
1390305c7aa5155
1439c4d4a96c248
1519453346cee5c
hexbf16000c9828

210101211011112 has 64 divisors (see below), whose sum is σ = 533327772787200. Its totient is φ = 68959611026880.

The previous prime is 210101211011099. The next prime is 210101211011117. The reversal of 210101211011112 is 211110112101012.

It is a junction number, because it is equal to n+sod(n) for n = 210101211011091 and 210101211011100.

It is not an unprimeable number, because it can be changed into a prime (210101211011117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76993662 + ... + 79675757.

It is an arithmetic number, because the mean of its divisors is an integer number (8333246449800).

Almost surely, 2210101211011112 is an apocalyptic number.

It is an amenable number.

210101211011112 is an abundant number, since it is smaller than the sum of its proper divisors (323226561776088).

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

210101211011112 is a wasteful number, since it uses less digits than its factorization.

210101211011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156670286 (or 156670282 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 210101211011112 its reverse (211110112101012), we get a palindrome (421211323112124).

The spelling of 210101211011112 in words is "two hundred ten trillion, one hundred one billion, two hundred eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 787 852 1574 1704 2361 3148 4722 6296 9444 18888 55877 111754 167631 223508 335262 447016 670524 1341048 156669419 313338838 470008257 626677676 940016514 1253355352 1880033028 3760066056 11123528749 22247057498 33370586247 44494114996 66741172494 88988229992 123298832753 133482344988 246597665506 266964689976 369896498259 493195331012 739792996518 986390662024 1479585993036 2959171986072 8754217125463 17508434250926 26262651376389 35016868501852 52525302752778 70033737003704 105050605505556 210101211011112