Search a number
-
+
23102040012012 = 22331379208284107
BaseRepresentation
bin1010100000010110111001…
…11000110111010011101100
310000210112101220000110202000
411100023130320313103230
511012000434220341022
6121044533005132300
74603032042044253
oct520133470672354
9100715356013660
1023102040012012
1173a757a355055
1227113b655a090
13cb7689169870
1459c2050c779a
152a0e0c97c6ac
hex1502dce374ec

23102040012012 has 96 divisors (see below), whose sum is σ = 65317896268800. Its totient is φ = 7018341235776.

The previous prime is 23102040011993. The next prime is 23102040012019. The reversal of 23102040012012 is 21021004020132.

It is a happy number.

23102040012012 is a `hidden beast` number, since 231 + 0 + 2 + 0 + 400 + 1 + 20 + 12 = 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 (23102040012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104031138 + ... + 104252969.

It is an arithmetic number, because the mean of its divisors is an integer number (680394752800).

Almost surely, 223102040012012 is an apocalyptic number.

It is an amenable number.

23102040012012 is an abundant number, since it is smaller than the sum of its proper divisors (42215856256788).

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

23102040012012 is a wasteful number, since it uses less digits than its factorization.

23102040012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208284212 (or 208284204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23102040012012 its reverse (21021004020132), we get a palindrome (44123044032144).

The spelling of 23102040012012 in words is "twenty-three trillion, one hundred two billion, forty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 108 117 156 158 234 237 316 351 468 474 702 711 948 1027 1404 1422 2054 2133 2844 3081 4108 4266 6162 8532 9243 12324 18486 27729 36972 55458 110916 208284107 416568214 624852321 833136428 1249704642 1874556963 2499409284 2707693391 3749113926 5415386782 5623670889 7498227852 8123080173 10830773564 11247341778 16246160346 16454444453 22494683556 24369240519 32492320692 32908888906 48738481038 49363333359 65817777812 73107721557 97476962076 98726666718 146215443114 148090000077 197453333436 213907777889 292430886228 296180000154 427815555778 444270000231 592360000308 641723333667 855631111556 888540000462 1283446667334 1777080000924 1925170001001 2566893334668 3850340002002 5775510003003 7700680004004 11551020006006 23102040012012