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132120212213010 = 23573106397120677
BaseRepresentation
bin11110000010100110100010…
…010100010000110100010010
3122022210120100202100021202110
4132002212202110100310102
5114304124143311304020
61144555104303530150
736554241011154000
oct3602464224206422
9568716322307673
10132120212213010
113910895a47798a
12129999478b9956
135894b61c75b38
14248a91c235a70
151041b3ae998e0
hex7829a2510d12

132120212213010 has 128 divisors (see below), whose sum is σ = 369789057907200. Its totient is φ = 30198371572992.

The previous prime is 132120212212993. The next prime is 132120212213023. The reversal of 132120212213010 is 10312212021231.

It is a super-2 number, since 2×1321202122130102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094764792 + ... + 1094885468.

It is an arithmetic number, because the mean of its divisors is an integer number (2888977014900).

Almost surely, 2132120212213010 is an apocalyptic number.

132120212213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132120212213010 is an abundant number, since it is smaller than the sum of its proper divisors (237668845694190).

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

132120212213010 is a wasteful number, since it uses less digits than its factorization.

132120212213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227105 (or 227091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132120212213010 its reverse (10312212021231), we get a palindrome (142432424234241).

The spelling of 132120212213010 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred twelve million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 10290 106397 120677 212794 241354 319191 362031 531985 603385 638382 724062 744779 844739 1063970 1206770 1489558 1595955 1689478 1810155 2234337 2534217 3191910 3620310 3723895 4223695 4468674 5068434 5213453 5913173 7447790 8447390 10426906 11171685 11826346 12671085 15640359 17739519 22343370 25342170 26067265 29565865 31280718 35479038 36494171 41392211 52134530 59131730 72988342 78201795 82784422 88697595 109482513 124176633 156403590 177395190 182470855 206961055 218965026 248353266 364941710 413922110 547412565 620883165 1094825130 1241766330 12839670769 25679341538 38519012307 64198353845 77038024614 89877695383 128396707690 179755390766 192595061535 269633086149 385190123070 449388476915 539266172298 629143867681 898776953830 1258287735362 1348165430745 1887431603043 2696330861490 3145719338405 3774863206086 4404007073767 6291438676810 8808014147534 9437158015215 13212021221301 18874316030430 22020035368835 26424042442602 44040070737670 66060106106505 132120212213010