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23012020000 = 25546131877
BaseRepresentation
bin10101011011100111…
…111000111100100000
32012101202011201221001
4111123213320330200
5334112034120000
614323243241344
71443154641214
oct253347707440
965352151831
1023012020000
11983975a252
124562819254
13222970a2a8
14118433a944
158ea3d646a
hex55b9f8f20

23012020000 has 120 divisors (see below), whose sum is σ = 56735585676. Its totient is φ = 9184896000.

The previous prime is 23012019971. The next prime is 23012020001. The reversal of 23012020000 is 2021032.

It can be written as a sum of positive squares in 10 ways, for example, as 7001672976 + 16010347024 = 83676^2 + 126532^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23012020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12259062 + ... + 12260938.

Almost surely, 223012020000 is an apocalyptic number.

23012020000 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 23012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28367792838).

23012020000 is an abundant number, since it is smaller than the sum of its proper divisors (33723565676).

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

23012020000 is an equidigital number, since it uses as much as digits as its factorization.

23012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 23012020000 its reverse (2021032), we get a palindrome (23014041032).

The spelling of 23012020000 in words is "twenty-three billion, twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 613 625 800 1000 1226 1250 1877 2000 2452 2500 3065 3754 4000 4904 5000 6130 7508 9385 9808 10000 12260 15016 15325 18770 19616 20000 24520 30032 30650 37540 46925 49040 60064 61300 75080 76625 93850 98080 122600 150160 153250 187700 234625 245200 300320 306500 375400 383125 469250 490400 613000 750800 766250 938500 1150601 1173125 1226000 1501600 1532500 1877000 2301202 2346250 2452000 3065000 3754000 4602404 4692500 5753005 6130000 7508000 9204808 9385000 11506010 12260000 18409616 18770000 23012020 28765025 36819232 37540000 46024040 57530050 92048080 115060100 143825125 184096160 230120200 287650250 460240400 575300500 719125625 920480800 1150601000 1438251250 2301202000 2876502500 4602404000 5753005000 11506010000 23012020000