Search a number
-
+
213106605012 = 2232721091108337
BaseRepresentation
bin1100011001111000100…
…1001011101111010100
3202101001202200012112200
43012132021023233110
511442420242330022
6241522210044500
721252660153300
oct3063611135724
9671052605480
10213106605012
1182418139574
1235374b79730
1317132807b62
14a458a7ad00
155823e32bac
hex319e24bbd4

213106605012 has 108 divisors (see below), whose sum is σ = 632384412660. Its totient is φ = 60328945152.

The previous prime is 213106605011. The next prime is 213106605013. The reversal of 213106605012 is 210506601312.

213106605012 is a `hidden beast` number, since 21 + 31 + 0 + 6 + 605 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (213106605011) and next prime (213106605013).

It can be written as a sum of positive squares in 2 ways, for example, as 61259220036 + 151847384976 = 247506^2 + 389676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213106605011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361893 + ... + 746444.

Almost surely, 2213106605012 is an apocalyptic number.

It is an amenable number.

213106605012 is an abundant number, since it is smaller than the sum of its proper divisors (419277807648).

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

213106605012 is a wasteful number, since it uses less digits than its factorization.

213106605012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108470 (or 1108458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 213106605012 in words is "two hundred thirteen billion, one hundred six million, six hundred five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 294 327 436 441 588 654 763 882 981 1308 1526 1764 1962 2289 3052 3924 4578 5341 6867 9156 10682 13734 16023 21364 27468 32046 48069 64092 96138 192276 1108337 2216674 3325011 4433348 6650022 7758359 9975033 13300044 15516718 19950066 23275077 31033436 39900132 46550154 54308513 69825231 93100308 108617026 120808733 139650462 162925539 217234052 241617466 279300924 325851078 362426199 483234932 488776617 651702156 724852398 845661131 977553234 1087278597 1449704796 1691322262 1955106468 2174557194 2536983393 3382644524 4349114388 5073966786 5919627917 7610950179 10147933572 11839255834 15221900358 17758883751 23678511668 30443800716 35517767502 53276651253 71035535004 106553302506 213106605012