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2106201132 = 2232731535087
BaseRepresentation
bin111110110001010…
…0001010000101100
312102210012002210100
41331202201100230
513303141414012
6544555111100
7103123262040
oct17542412054
95383162710
102106201132
119909940a2
124a9442490
1327747c579
1415da22020
15c4d8e8dc
hex7d8a142c

2106201132 has 144 divisors (see below), whose sum is σ = 6400622592. Its totient is φ = 571259520.

The previous prime is 2106201089. The next prime is 2106201137. The reversal of 2106201132 is 2311026012.

2106201132 is a `hidden beast` number, since 2 + 1 + 0 + 620 + 11 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2106201137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411493 + ... + 416579.

It is an arithmetic number, because the mean of its divisors is an integer number (44448768).

Almost surely, 22106201132 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 2106201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200311296).

2106201132 is an abundant number, since it is smaller than the sum of its proper divisors (4294421460).

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

2106201132 is a wasteful number, since it uses less digits than its factorization.

2106201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2106201132 is about 45893.3669717095. The cubic root of 2106201132 is about 1281.8384089267.

Adding to 2106201132 its reverse (2311026012), we get a palindrome (4417227144).

The spelling of 2106201132 in words is "two billion, one hundred six million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 53 62 63 84 93 106 124 126 159 186 212 217 252 279 318 371 372 434 477 558 636 651 742 868 954 1113 1116 1302 1484 1643 1908 1953 2226 2604 3286 3339 3906 4452 4929 5087 6572 6678 7812 9858 10174 11501 13356 14787 15261 19716 20348 23002 29574 30522 34503 35609 45783 46004 59148 61044 69006 71218 91566 103509 106827 138012 142436 157697 183132 207018 213654 269611 315394 320481 414036 427308 473091 539222 630788 640962 808833 946182 1078444 1103879 1281924 1419273 1617666 1887277 1892364 2207758 2426499 2838546 3235332 3311637 3774554 4415516 4852998 5661831 5677092 6623274 7549108 8357941 9705996 9934911 11323662 13246548 16715882 16985493 19869822 22647324 25073823 33431764 33970986 39739644 50147646 58505587 67941972 75221469 100295292 117011174 150442938 175516761 234022348 300885876 351033522 526550283 702067044 1053100566 2106201132