Search a number
-
+
23310241431021 = 33171953132138177
BaseRepresentation
bin1010100110011010101101…
…01010001111110111101101
310001112102210210201102002000
411103031112222033313231
511023403333301243041
6121324324352122513
74624052340645666
oct523152652176755
9101472723642060
1023310241431021
1174778aa655796
122745820836439
1310011b9661c9c
145a831650436d
152a6545e36bb6
hex153356a8fded

23310241431021 has 128 divisors (see below), whose sum is σ = 39246495321600. Its totient is φ = 13584156917760.

The previous prime is 23310241430999. The next prime is 23310241431041. The reversal of 23310241431021 is 12013414201332.

23310241431021 is a `hidden beast` number, since 2 + 3 + 310 + 2 + 4 + 14 + 310 + 21 = 666.

It is not a de Polignac number, because 23310241431021 - 233 = 23301651496429 is a prime.

It is a super-2 number, since 2×233102414310212 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23310241431041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610564285 + ... + 610602461.

It is an arithmetic number, because the mean of its divisors is an integer number (306613244700).

Almost surely, 223310241431021 is an apocalyptic number.

It is an amenable number.

23310241431021 is a deficient number, since it is larger than the sum of its proper divisors (15936253890579).

23310241431021 is a wasteful number, since it uses less digits than its factorization.

23310241431021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39596 (or 39590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23310241431021 its reverse (12013414201332), we get a palindrome (35323655632353).

The spelling of 23310241431021 in words is "twenty-three trillion, three hundred ten billion, two hundred forty-one million, four hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 17 19 27 51 53 57 153 159 171 323 459 477 513 901 969 1007 1321 1431 2703 2907 3021 3963 8109 8721 9063 11889 17119 22457 24327 25099 27189 35667 38177 51357 67371 70013 75297 114531 154071 202113 210039 225891 343593 426683 462213 606339 630117 649009 677673 725363 1030779 1190221 1280049 1330247 1890351 1947027 2023381 2176089 3570663 3840147 3990741 5841081 6070143 6528267 10711989 11520441 11972223 12331171 17523243 18210429 19584801 22614199 32135967 34397477 35916669 36993513 38444239 50431817 54631287 67842597 103192431 110980539 115332717 151295451 203527791 309577293 332941617 345998151 453886353 610583373 653552063 857340889 928731879 958204523 1037994453 1361659059 1960656189 2572022667 2672886301 2874613569 5881968567 7716068001 8018658903 8623840707 16289476891 17645905701 23148204003 24055976709 25871522121 45439067117 48868430673 50784839719 72167930127 136317201351 146605292019 152354519157 408951604053 439815876057 457063557471 863342275223 1226854812159 1371190672413 2590026825669 7770080477007 23310241431021