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10102230000 = 243254112247
BaseRepresentation
bin10010110100010001…
…11100101111110000
3222002001010110022200
421122020330233300
5131142132330000
64350233503200
7505225352412
oct113210745760
928061113280
1010102230000
114314499a15
121b5b271b00
13c4cc31cb5
146bb9749b2
153e1d53500
hex25a23cbf0

10102230000 has 150 divisors (see below), whose sum is σ = 35329272264. Its totient is φ = 2693904000.

The previous prime is 10102229999. The next prime is 10102230007. The reversal of 10102230000 is 3220101.

It is a happy number.

10102230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102230007) 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 29 ways as a sum of consecutive naturals, for example, 33877 + ... + 146123.

Almost surely, 210102230000 is an apocalyptic number.

10102230000 is a gapful number since it is divisible by the number (10) 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 10102230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664636132).

10102230000 is an abundant number, since it is smaller than the sum of its proper divisors (25227042264).

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

10102230000 is a wasteful number, since it uses less digits than its factorization.

10102230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112281 (or 112257 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10102230000 its reverse (3220101), we get a palindrome (10105450101).

The spelling of 10102230000 in words is "ten billion, one hundred two million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 112247 224494 336741 448988 561235 673482 897976 1010223 1122470 1346964 1683705 1795952 2020446 2244940 2693928 2806175 3367410 4040892 4489880 5051115 5387856 5612350 6734820 8081784 8418525 8979760 10102230 11224700 13469640 14030875 16163568 16837050 20204460 22449400 25255575 26939280 28061750 33674100 40408920 42092625 44898800 50511150 56123500 67348200 70154375 80817840 84185250 101022300 112247000 126277875 134696400 140308750 168370500 202044600 210463125 224494000 252555750 280617500 336741000 404089200 420926250 505111500 561235000 631389375 673482000 841852500 1010223000 1122470000 1262778750 1683705000 2020446000 2525557500 3367410000 5051115000 10102230000