Search a number
-
+
12320300212002 = 2324123203127123
BaseRepresentation
bin1011001101001000101100…
…0111100001111100100010
31121121210211220102202020100
42303102023013201330202
53103323433323241002
642111511235123230
72411053344623406
oct263221307417442
947553756382210
1012320300212002
113a20012309912
12146b90b743516
136b4a51169553
1430843cc33106
1516572c89c11c
hexb348b1e1f22

12320300212002 has 72 divisors (see below), whose sum is σ = 27369693975312. Its totient is φ = 4005319296960.

The previous prime is 12320300212001. The next prime is 12320300212021. The reversal of 12320300212002 is 20021200302321.

12320300212002 is a `hidden beast` number, since 1 + 2 + 320 + 300 + 21 + 20 + 0 + 2 = 666.

It is a super-2 number, since 2×123203002120022 (a number of 27 digits) contains 22 as substring.

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 (12320300212001) 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, 96852813 + ... + 96979935.

It is an arithmetic number, because the mean of its divisors is an integer number (380134638546).

Almost surely, 212320300212002 is an apocalyptic number.

12320300212002 is an abundant number, since it is smaller than the sum of its proper divisors (15049393763310).

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

12320300212002 is a wasteful number, since it uses less digits than its factorization.

12320300212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130416 (or 130372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12320300212002 its reverse (20021200302321), we get a palindrome (32341500514323).

The spelling of 12320300212002 in words is "twelve trillion, three hundred twenty billion, three hundred million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1681 3203 3362 5043 6406 9609 10086 15129 19218 28827 30258 57654 127123 131323 254246 262646 381369 393969 762738 787938 1144107 1181907 2288214 2363814 5212043 5384243 10424086 10768486 15636129 16152729 31272258 32305458 46908387 48458187 93816774 96916374 213693763 407174969 427387526 641081289 814349938 1221524907 1282162578 1923243867 2443049814 3664574721 3846487734 7329149442 16694173729 33388347458 50082521187 100165042374 150247563561 300495127122 684461122889 1368922245778 2053383368667 4106766737334 6160150106001 12320300212002