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23431110653313 = 32115389226722133
BaseRepresentation
bin1010101001111011110110…
…00001101111010110000001
310001221222210101111002101200
411110331323001233112001
511032343403311401223
6121500034215051413
74635561523252116
oct524757301572601
9101858711432350
1023431110653313
117514095130440
122765133670b69
13100c70c957a6c
145b010107490d
152a976c389a43
hex154f7b06f581

23431110653313 has 96 divisors (see below), whose sum is σ = 38059565281920. Its totient is φ = 13769489310720.

The previous prime is 23431110653303. The next prime is 23431110653333. The reversal of 23431110653313 is 31335601113432.

It is a happy number.

23431110653313 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 1 + 1 + 106 + 533 + 13 = 666.

It is not a de Polignac number, because 23431110653313 - 210 = 23431110652289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23431110653303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1058639395 + ... + 1058661527.

It is an arithmetic number, because the mean of its divisors is an integer number (396453805020).

Almost surely, 223431110653313 is an apocalyptic number.

It is an amenable number.

23431110653313 is a deficient number, since it is larger than the sum of its proper divisors (14628454628607).

23431110653313 is a wasteful number, since it uses less digits than its factorization.

23431110653313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24559 (or 24556 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 23431110653313 its reverse (31335601113432), we get a palindrome (54766711766745).

The spelling of 23431110653313 in words is "twenty-three trillion, four hundred thirty-one billion, one hundred ten million, six hundred fifty-three thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 53 89 99 159 267 477 583 801 979 1749 2267 2937 4717 5247 6801 8811 14151 20403 22133 24937 42453 51887 66399 74811 120151 155661 199197 201763 224433 243463 360453 466983 605289 730389 1081359 1173049 1321661 1815867 1969837 2191167 2219393 3519147 3964983 5909511 6658179 10557441 10693439 11894949 12903539 17728533 19974537 21668207 32080317 38710617 50175511 65004621 96240951 104401361 116131851 117627829 150526533 195013863 313204083 352883487 451579599 551930621 939612249 1058650461 1148414971 1655791863 2659302083 3445244913 4465620479 4967375589 7977906249 10335734739 13396861437 23933718747 29252322913 40190584311 49121825269 87756968739 147365475807 236677885387 263270906217 442096427421 710033656161 2130100968483 2603456739257 7810370217771 23431110653313