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10382203700 = 22521137793229
BaseRepresentation
bin10011010101101001…
…11101101100110100
3222210112221121000222
421222310331230310
5132230321004300
64434114353512
7515165163311
oct115264755464
928715847028
1010382203700
114448535340
122018b8b898
13c95c3a6cb
14706c13d08
1540b708785
hex26ad3db34

10382203700 has 144 divisors (see below), whose sum is σ = 25569196800. Its totient is φ = 3625689600.

The previous prime is 10382203673. The next prime is 10382203709. The reversal of 10382203700 is 730228301.

It is a self number, because there is not a number n which added to its sum of digits gives 10382203700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10382203709) 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 47 ways as a sum of consecutive naturals, for example, 3213686 + ... + 3216914.

Almost surely, 210382203700 is an apocalyptic number.

10382203700 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 10382203700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784598400).

10382203700 is an abundant number, since it is smaller than the sum of its proper divisors (15186993100).

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

10382203700 is a wasteful number, since it uses less digits than its factorization.

10382203700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 10382203700 in words is "ten billion, three hundred eighty-two million, two hundred three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 79 100 110 148 158 185 220 275 316 370 395 407 550 740 790 814 869 925 1100 1580 1628 1738 1850 1975 2035 2923 3229 3476 3700 3950 4070 4345 5846 6458 7900 8140 8690 10175 11692 12916 14615 16145 17380 20350 21725 29230 32153 32290 35519 40700 43450 58460 64306 64580 71038 73075 80725 86900 119473 128612 142076 146150 160765 161450 177595 238946 255091 292300 321530 322900 355190 477892 510182 597365 643060 710380 803825 887975 1020364 1194730 1275455 1314203 1607650 1775950 2389460 2550910 2628406 2806001 2986825 3215300 3551900 5101820 5256812 5612002 5973650 6377275 6571015 9438367 11224004 11947300 12754550 13142030 14030005 18876734 25509100 26284060 28060010 32855075 37753468 47191835 56120020 65710150 70150025 94383670 103822037 131420300 140300050 188767340 207644074 235959175 280600100 415288148 471918350 519110185 943836700 1038220370 2076440740 2595550925 5191101850 10382203700