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211131001332 = 22345983133069
BaseRepresentation
bin1100010010100001100…
…0110110100111110100
3202011222002020010210000
43010220120312213310
511424344014020312
6240554154031300
721153010620636
oct3045030664764
9664862203700
10211131001332
11815a3a45259
1234b03418530
1316ba9422cb4
14a30c532a56
15575a78dadc
hex31286369f4

211131001332 has 120 divisors (see below), whose sum is σ = 568059861600. Its totient is φ = 68350112064.

The previous prime is 211131001309. The next prime is 211131001349. The reversal of 211131001332 is 233100131112.

211131001332 is a `hidden beast` number, since 21 + 1 + 1 + 310 + 0 + 1 + 332 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1520094 + ... + 1653162.

It is an arithmetic number, because the mean of its divisors is an integer number (4733832180).

Almost surely, 2211131001332 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 211131001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284029930800).

211131001332 is an abundant number, since it is smaller than the sum of its proper divisors (356928860268).

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

211131001332 is a wasteful number, since it uses less digits than its factorization.

211131001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133227 (or 133216 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211131001332 its reverse (233100131112), we get a palindrome (444231132444).

The spelling of 211131001332 in words is "two hundred eleven billion, one hundred thirty-one million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 83 108 118 162 166 177 236 249 324 332 354 498 531 708 747 996 1062 1494 1593 2124 2241 2988 3186 4482 4779 4897 6372 6723 8964 9558 9794 13446 14691 19116 19588 26892 29382 44073 58764 88146 132219 133069 176292 264438 266138 396657 399207 528876 532276 793314 798414 1197621 1586628 1596828 2395242 3592863 4790484 7185726 7851071 10778589 11044727 14371452 15702142 21557178 22089454 23553213 31404284 33134181 43114356 44178908 47106426 66268362 70659639 94212852 99402543 132536724 141319278 198805086 211978917 282638556 298207629 397610172 423957834 596415258 635936751 651638893 847915668 894622887 1192830516 1271873502 1303277786 1789245774 1954916679 2543747004 2606555572 3578491548 3909833358 5864750037 7819666716 11729500074 17594250111 23459000148 35188500222 52782750333 70377000444 105565500666 211131001332