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10102233000 = 2335317198083
BaseRepresentation
bin10010110100010001…
…11101011110101000
3222002001010121102210
421122020331132220
5131142132424000
64350233525120
7505225364226
oct113210753650
928061117383
1010102233000
1143144a11a2
121b5b2737a0
13c4cc33482
146bb975b16
153e1d54350
hex25a23d7a8

10102233000 has 128 divisors (see below), whose sum is σ = 33373192320. Its totient is φ = 2535449600.

The previous prime is 10102232989. The next prime is 10102233049. The reversal of 10102233000 is 33220101.

It is a happy number.

10102233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101022330002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 48042 + ... + 150041.

It is an arithmetic number, because the mean of its divisors is an integer number (260728065).

Almost surely, 210102233000 is an apocalyptic number.

10102233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102233000 is an abundant number, since it is smaller than the sum of its proper divisors (23270959320).

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

10102233000 is a wasteful number, since it uses less digits than its factorization.

10102233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198124 (or 198110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10102233000 its reverse (33220101), we get a palindrome (10135453101).

The spelling of 10102233000 in words is "ten billion, one hundred two million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 198083 396166 594249 792332 990415 1188498 1584664 1980830 2376996 2971245 3367411 3961660 4753992 4952075 5942490 6734822 7923320 9904150 10102233 11884980 13469644 14856225 16837055 19808300 20204466 23769960 24760375 26939288 29712450 33674110 39616600 40408932 49520750 50511165 59424900 67348220 74281125 80817864 84185275 99041500 101022330 118849800 134696440 148562250 168370550 198083000 202044660 252555825 297124500 336741100 404089320 420926375 505111650 594249000 673482200 841852750 1010223300 1262779125 1683705500 2020446600 2525558250 3367411000 5051116500 10102233000