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1023230213320 = 235753241286103
BaseRepresentation
bin11101110001111010100…
…01011111110011001000
310121211010200011112101011
432320331101133303020
5113231033413311240
62102022050333304
7133632412210330
oct16707521376310
93554120145334
101023230213320
11364a49863aa7
1214638588a234
137564ac600b3
143774b7400c0
151b93ad9c6ea
hexee3d45fcc8

1023230213320 has 128 divisors (see below), whose sum is σ = 2691941091840. Its totient is φ = 342773084160.

The previous prime is 1023230213309. The next prime is 1023230213323. The reversal of 1023230213320 is 233120323201.

It is a junction number, because it is equal to n+sod(n) for n = 1023230213291 and 1023230213300.

It is not an unprimeable number, because it can be changed into a prime (1023230213323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3433389 + ... + 3719491.

It is an arithmetic number, because the mean of its divisors is an integer number (21030789780).

Almost surely, 21023230213320 is an apocalyptic number.

1023230213320 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 1023230213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345970545920).

1023230213320 is an abundant number, since it is smaller than the sum of its proper divisors (1668710878520).

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

1023230213320 is a wasteful number, since it uses less digits than its factorization.

1023230213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286415 (or 286411 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1023230213320 its reverse (233120323201), we get a palindrome (1256350536521).

The spelling of 1023230213320 in words is "one trillion, twenty-three billion, two hundred thirty million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 241 265 280 371 424 482 530 742 964 1060 1205 1484 1687 1855 1928 2120 2410 2968 3374 3710 4820 6748 7420 8435 9640 12773 13496 14840 16870 25546 33740 51092 63865 67480 89411 102184 127730 178822 255460 286103 357644 447055 510920 572206 715288 894110 1144412 1430515 1788220 2002721 2288824 2861030 3576440 4005442 5722060 8010884 10013605 11444120 15163459 16021768 20027210 30326918 40054420 60653836 68950823 75817295 80108840 106144213 121307672 137901646 151634590 212288426 275803292 303269180 344754115 424576852 482655761 530721065 551606584 606538360 689508230 849153704 965311522 1061442130 1379016460 1930623044 2122884260 2413278805 2758032920 3654393619 3861246088 4245768520 4826557610 7308787238 9653115220 14617574476 18271968095 19306230440 25580755333 29235148952 36543936190 51161510666 73087872380 102323021332 127903776665 146175744760 204646042664 255807553330 511615106660 1023230213320