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132212212110 = 232511237328127
BaseRepresentation
bin111101100100001110…
…1100100000110001110
3110122021002121021010200
41323020131210012032
54131232311241420
6140423142314330
712360225155226
oct1731035440616
9418232537120
10132212212110
115108638a900
12217597289a6
13c6102c0894
146583205086
15368c193b90
hex1ec876418e

132212212110 has 144 divisors (see below), whose sum is σ = 388055985408. Its totient is φ = 31185095040.

The previous prime is 132212212087. The next prime is 132212212117. The reversal of 132212212110 is 11212212231.

132212212110 is a `hidden beast` number, since 13 + 221 + 221 + 211 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212212117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238867 + ... + 566993.

It is an arithmetic number, because the mean of its divisors is an integer number (2694833232).

Almost surely, 2132212212110 is an apocalyptic number.

132212212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132212212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194027992704).

132212212110 is an abundant number, since it is smaller than the sum of its proper divisors (255843773298).

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

132212212110 is a wasteful number, since it uses less digits than its factorization.

132212212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328199 (or 328185 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132212212110 its reverse (11212212231), we get a palindrome (143424424341).

The spelling of 132212212110 in words is "one hundred thirty-two billion, two hundred twelve million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 121 165 185 198 222 242 330 333 363 370 407 495 555 605 666 726 814 990 1089 1110 1210 1221 1665 1815 2035 2178 2442 3330 3630 3663 4070 4477 5445 6105 7326 8954 10890 12210 13431 18315 22385 26862 36630 40293 44770 67155 80586 134310 201465 328127 402930 656254 984381 1640635 1968762 2953143 3281270 3609397 4921905 5906286 7218794 9843810 10828191 12140699 14765715 18046985 21656382 24281398 29531430 32484573 36093970 36422097 39703367 54140955 60703495 64969146 72844194 79406734 108281910 109266291 119110101 121406990 133547689 162422865 182110485 198516835 218532582 238220202 267095378 324845730 357330303 364220970 397033670 400643067 546331455 595550505 667738445 714660606 801286134 1092662910 1191101010 1201929201 1335476890 1469024579 1786651515 2003215335 2403858402 2938049158 3573303030 4006430670 4407073737 6009646005 7345122895 8814147474 12019292010 13221221211 14690245790 22035368685 26442442422 44070737370 66106106055 132212212110