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23023232000120 = 23511676143127133
BaseRepresentation
bin1010011110000100000111…
…00100001010000001111000
310000111222222121211200000202
411033002003210022001320
511004203034343000440
6120544420552021332
74564242103021532
oct517020344120170
9100458877750022
1023023232000120
117377109282310
1226ba081991848
13cb0109c82571
1459848a794852
1529dd48e65615
hex14f08390a078

23023232000120 has 128 divisors (see below), whose sum is σ = 57364813578240. Its totient is φ = 8245720496640.

The previous prime is 23023232000107. The next prime is 23023232000137. The reversal of 23023232000120 is 2100023232032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23023232000092 and 23023232000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181032074 + ... + 181159206.

It is an arithmetic number, because the mean of its divisors is an integer number (448162606080).

Almost surely, 223023232000120 is an apocalyptic number.

23023232000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023232000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28682406789120).

23023232000120 is an abundant number, since it is smaller than the sum of its proper divisors (34341581578120).

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

23023232000120 is a wasteful number, since it uses less digits than its factorization.

23023232000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133365 (or 133361 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23023232000120 its reverse (2100023232032), we get a palindrome (25123255232152).

The spelling of 23023232000120 in words is "twenty-three trillion, twenty-three billion, two hundred thirty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1340 1474 2680 2948 3685 5896 6143 7370 12286 14740 24572 29480 30715 49144 61430 67573 122860 127133 135146 245720 254266 270292 337865 411581 508532 540584 635665 675730 823162 1017064 1271330 1351460 1398463 1646324 2057905 2542660 2702920 2796926 3292648 4115810 4527391 5085320 5593852 6992315 8231620 8517911 9054782 11187704 13984630 16463240 17035822 18109564 22636955 27969260 34071644 36219128 42589555 45273910 55938520 68143288 85179110 90547820 93697021 170358220 181095640 187394042 340716440 374788084 468485105 749576168 780978019 936970210 1561956038 1873940420 3123912076 3747880840 3904890095 6247824152 7809780190 8590758209 15619560380 17181516418 31239120760 34363032836 42953791045 52325527273 68726065672 85907582090 104651054546 171815164180 209302109092 261627636365 343630328360 418604218184 523255272730 575580800003 1046510545460 1151161600006 2093021090920 2302323200012 2877904000015 4604646400024 5755808000030 11511616000060 23023232000120