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10230254320 = 24511133724169
BaseRepresentation
bin10011000011100010…
…10100101011110000
3222101222000202200011
421201301110223300
5131422421114240
64411045504304
7511341504226
oct114161245360
928358022604
1010230254320
11437a791540
121b96112094
13c70608430
146d097cb16
153ed1e16ea
hex261c54af0

10230254320 has 160 divisors (see below), whose sum is σ = 28700038080. Its totient is φ = 3340984320.

The previous prime is 10230254317. The next prime is 10230254323. The reversal of 10230254320 is 2345203201.

It is an interprime number because it is at equal distance from previous prime (10230254317) and next prime (10230254323).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10230254291 and 10230254300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230254323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411196 + ... + 435364.

It is an arithmetic number, because the mean of its divisors is an integer number (179375238).

Almost surely, 210230254320 is an apocalyptic number.

10230254320 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 10230254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350019040).

10230254320 is an abundant number, since it is smaller than the sum of its proper divisors (18469783760).

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

10230254320 is a wasteful number, since it uses less digits than its factorization.

10230254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24243 (or 24237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 10230254320 its reverse (2345203201), we get a palindrome (12575457521).

The spelling of 10230254320 in words is "ten billion, two hundred thirty million, two hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 130 143 148 176 185 208 220 260 286 296 370 407 440 481 520 572 592 715 740 814 880 962 1040 1144 1430 1480 1628 1924 2035 2288 2405 2860 2960 3256 3848 4070 4810 5291 5720 6512 7696 8140 9620 10582 11440 16280 19240 21164 24169 26455 32560 38480 42328 48338 52910 84656 96676 105820 120845 193352 211640 241690 265859 314197 386704 423280 483380 531718 628394 894253 966760 1063436 1256788 1329295 1570985 1788506 1933520 2126872 2513576 2658590 3141970 3456167 3577012 4253744 4471265 5027152 5317180 6283940 6912334 7154024 8942530 9836783 10634360 11625289 12567880 13824668 14308048 17280835 17885060 19673566 21268720 23250578 25135760 27649336 34561670 35770120 39347132 46501156 49183915 55298672 58126445 69123340 71540240 78694264 93002312 98367830 116252890 127878179 138246680 157388528 186004624 196735660 232505780 255756358 276493360 393471320 465011560 511512716 639390895 786942640 930023120 1023025432 1278781790 2046050864 2557563580 5115127160 10230254320