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10203253440 = 263541259229
BaseRepresentation
bin10011000000010100…
…10100101011000000
3222100002012222102120
421200022110223000
5131344013102230
64404243044240
7510563136402
oct114012245300
928302188376
1010203253440
11436651a366
121b89070680
13c67b43593
146cb150b72
153eab5b310
hex260294ac0

10203253440 has 112 divisors (see below), whose sum is σ = 33185587680. Its totient is φ = 2654494720.

The previous prime is 10203253429. The next prime is 10203253451. The reversal of 10203253440 is 4435230201.

It is an interprime number because it is at equal distance from previous prime (10203253429) and next prime (10203253451).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10203253440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90255 + ... + 168974.

It is an arithmetic number, because the mean of its divisors is an integer number (296299890).

Almost surely, 210203253440 is an apocalyptic number.

10203253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203253440 is an abundant number, since it is smaller than the sum of its proper divisors (22982334240).

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

10203253440 is a wasteful number, since it uses less digits than its factorization.

10203253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259290 (or 259280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10203253440 its reverse (4435230201), we get a palindrome (14638483641).

The spelling of 10203253440 in words is "ten billion, two hundred three million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 259229 518458 777687 1036916 1296145 1555374 2073832 2592290 3110748 3888435 4147664 5184580 6221496 7776870 8295328 10369160 10628389 12442992 15553740 16590656 20738320 21256778 24885984 31107480 31885167 41476640 42513556 49771968 53141945 62214960 63770334 82953280 85027112 106283890 124429920 127540668 159425835 170054224 212567780 248859840 255081336 318851670 340108448 425135560 510162672 637703340 680216896 850271120 1020325344 1275406680 1700542240 2040650688 2550813360 3401084480 5101626720 10203253440