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211133086340 = 225112181482017
BaseRepresentation
bin1100010010100010000…
…0110011101010000100
3202011222020011001212112
43010220200303222010
511424400032230330
6240554310440152
721153034423451
oct3045040635204
9664866131775
10211133086340
11815a5139800
1234b04063058
1316ba99a3027
14a30c916828
15575aa51795
hex3128833a84

211133086340 has 72 divisors (see below), whose sum is σ = 490044563736. Its totient is φ = 76351334400.

The previous prime is 211133086331. The next prime is 211133086343. The reversal of 211133086340 is 43680331112.

It can be written as a sum of positive squares in 4 ways, for example, as 8505266176 + 202627820164 = 92224^2 + 450142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211133086297 and 211133086306.

It is not an unprimeable number, because it can be changed into a prime (211133086343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197012 + ... + 679028.

Almost surely, 2211133086340 is an apocalyptic number.

211133086340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211133086340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245022281868).

211133086340 is an abundant number, since it is smaller than the sum of its proper divisors (278911477396).

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

211133086340 is a wasteful number, since it uses less digits than its factorization.

211133086340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482229 (or 482216 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 211133086340 in words is "two hundred eleven billion, one hundred thirty-three million, eighty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 181 220 242 362 484 605 724 905 1210 1810 1991 2420 3620 3982 7964 9955 19910 21901 39820 43802 87604 109505 219010 438020 482017 964034 1928068 2410085 4820170 5302187 9640340 10604374 21208748 26510935 53021870 58324057 87245077 106043740 116648114 174490154 233296228 291620285 348980308 436225385 583240570 872450770 959695847 1166481140 1744901540 1919391694 3838783388 4798479235 9596958470 10556654317 19193916940 21113308634 42226617268 52783271585 105566543170 211133086340