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23001253000 = 2353112190093
BaseRepresentation
bin10101011010111110…
…110100010010001000
32012100222220201101021
4111122332310102020
5334101310044000
614322220402224
71442664265435
oct253276642210
965328821337
1023001253000
119833675900
12455b0a6374
13222740a59b
141182b36b8c
158e94ab11a
hex55afb4488

23001253000 has 96 divisors (see below), whose sum is σ = 59161054680. Its totient is φ = 8364048000.

The previous prime is 23001252983. The next prime is 23001253007. The reversal of 23001253000 is 35210032.

It can be written as a sum of positive squares in 4 ways, for example, as 3071154724 + 19930098276 = 55418^2 + 141174^2 .

It is not an unprimeable number, because it can be changed into a prime (23001253007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25954 + ... + 216046.

Almost surely, 223001253000 is an apocalyptic number.

23001253000 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 23001253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29580527340).

23001253000 is an abundant number, since it is smaller than the sum of its proper divisors (36159801680).

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

23001253000 is a wasteful number, since it uses less digits than its factorization.

23001253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190136 (or 190111 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 23001253000 its reverse (35210032), we get a palindrome (23036463032).

The spelling of 23001253000 in words is "twenty-three billion, one million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 190093 380186 760372 950465 1520744 1900930 2091023 3801860 4182046 4752325 7603720 8364092 9504650 10455115 16728184 19009300 20910230 23001253 23761625 38018600 41820460 46002506 47523250 52275575 83640920 92005012 95046500 104551150 115006265 184010024 190093000 209102300 230012530 261377875 418204600 460025060 522755750 575031325 920050120 1045511500 1150062650 2091023000 2300125300 2875156625 4600250600 5750313250 11500626500 23001253000