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23114010232242 = 2337312119483829
BaseRepresentation
bin1010100000101101001100…
…10111101000010110110010
310000211200022010002122221000
411100112212113220112302
511012144443104412432
6121054232452342430
74603634502200436
oct520264627502662
9100750263078830
1023114010232242
117401662216746
122713797314a16
13cb88460a5707
1459ca1cb929c6
152a13ad7b957c
hex1505a65e85b2

23114010232242 has 64 divisors (see below), whose sum is σ = 52072494048000. Its totient is φ = 7598483904384.

The previous prime is 23114010232153. The next prime is 23114010232267. The reversal of 23114010232242 is 24223201041132.

23114010232242 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 401 + 0 + 232 + 24 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47531184 + ... + 48015012.

It is an arithmetic number, because the mean of its divisors is an integer number (813632719500).

Almost surely, 223114010232242 is an apocalyptic number.

23114010232242 is an abundant number, since it is smaller than the sum of its proper divisors (28958483815758).

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

23114010232242 is a wasteful number, since it uses less digits than its factorization.

23114010232242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496032 (or 496026 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23114010232242 its reverse (24223201041132), we get a palindrome (47337211273374).

The spelling of 23114010232242 in words is "twenty-three trillion, one hundred fourteen billion, ten million, two hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 12119 24238 36357 72714 109071 218142 327213 483829 654426 884687 967658 1451487 1769374 2654061 2902974 4354461 5308122 7962183 8708922 13063383 15924366 23886549 26126766 35319517 47773098 70639034 105958551 211917102 317875653 635751306 953626959 1907253918 5863523651 11727047302 17590570953 35181141906 52771712859 105543425718 158315138577 316630277154 428037226523 856074453046 1284111679569 2568223359138 3852335038707 7704670077414 11557005116121 23114010232242