Search a number
-
+
12330320332002 = 23175313919385021
BaseRepresentation
bin1011001101101110000001…
…0111010000010011100010
31121122202201020001120210220
42303123200113100103202
53104004444001111002
642120245421103510
72411556555344301
oct263334027202342
947582636046726
1012330320332002
113a24294416322
1214718473b7b96
136b598a07c93a
14308b0d912438
15165b173d17bc
hexb36e05d04e2

12330320332002 has 128 divisors (see below), whose sum is σ = 26934479873280. Its totient is φ = 3748476026880.

The previous prime is 12330320331971. The next prime is 12330320332009. The reversal of 12330320332002 is 20023302303321.

It is not an unprimeable number, because it can be changed into a prime (12330320332009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144984252 + ... + 145069272.

It is an arithmetic number, because the mean of its divisors is an integer number (210425624010).

Almost surely, 212330320332002 is an apocalyptic number.

12330320332002 is an abundant number, since it is smaller than the sum of its proper divisors (14604159541278).

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

12330320332002 is a wasteful number, since it uses less digits than its factorization.

12330320332002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85428.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12330320332002 its reverse (20023302303321), we get a palindrome (32353622635323).

The spelling of 12330320332002 in words is "twelve trillion, three hundred thirty billion, three hundred twenty million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 17 34 51 53 102 106 139 159 193 278 318 386 417 579 834 901 1158 1802 2363 2703 3281 4726 5406 6562 7089 7367 9843 10229 14178 14734 19686 20458 22101 26827 30687 44202 53654 61374 80481 85021 125239 160962 170042 173893 250478 255063 347786 375717 456059 510126 521679 751434 912118 1043358 1368177 1421831 1445357 2736354 2843662 2890714 4265493 4336071 4506113 8530986 8672142 9012226 11817919 13518339 16409053 23635838 24171127 27036678 32818106 35453757 48342254 49227159 70907514 72513381 76603921 98454318 145026762 153207842 200904623 229811763 278953901 401809246 459623526 557907802 602713869 626349707 836861703 869679809 1205427738 1252699414 1673723406 1739359618 1879049121 2280858367 2609039427 3758098242 4561716734 5218078854 6842575101 10647945019 13685150202 14784556753 21295890038 29569113506 31943835057 38774592239 44353670259 63887670114 77549184478 88707340518 116323776717 120885493451 232647553434 241770986902 362656480353 725312960706 2055053388667 4110106777334 6165160166001 12330320332002