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10002111130320 = 243564175186573
BaseRepresentation
bin1001000110001100110001…
…0001111110101011010000
31022102012012022200210012020
42101203030101332223100
52302333310422132240
633134523441531440
72051425431556221
oct221431421765320
938365168623166
1010002111130320
113206964a84521
121156586943b80
1357726c64256a
14268167675248
151252a04580d0
hex918cc47ead0

10002111130320 has 160 divisors (see below), whose sum is σ = 31096627259904. Its totient is φ = 2659491840000.

The previous prime is 10002111130279. The next prime is 10002111130391. The reversal of 10002111130320 is 2303111120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002111130320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115490554 + ... + 115577126.

Almost surely, 210002111130320 is an apocalyptic number.

10002111130320 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 10002111130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15548313629952).

10002111130320 is an abundant number, since it is smaller than the sum of its proper divisors (21094516129584).

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

10002111130320 is a wasteful number, since it uses less digits than its factorization.

10002111130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87981 (or 87975 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10002111130320 its reverse (2303111120001), we get a palindrome (12305222250321).

The spelling of 10002111130320 in words is "ten trillion, two billion, one hundred eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 641 751 1282 1502 1923 2253 2564 3004 3205 3755 3846 4506 5128 6008 6410 7510 7692 9012 9615 10256 11265 12016 12820 15020 15384 18024 19230 22530 25640 30040 30768 36048 38460 45060 51280 60080 76920 86573 90120 153840 173146 180240 259719 346292 432865 481391 519438 692584 865730 962782 1038876 1298595 1385168 1444173 1731460 1925564 2077752 2406955 2597190 2888346 3462920 3851128 4155504 4813910 5194380 5776692 6925840 7220865 7702256 9627820 10388760 11553384 14441730 19255640 20777520 23106768 28883460 38511280 55493293 57766920 65016323 110986586 115533840 130032646 166479879 195048969 221973172 260065292 277466465 325081615 332959758 390097938 443946344 520130584 554932930 650163230 665919516 780195876 832399395 887892688 975244845 1040261168 1109865860 1300326460 1331839032 1560391752 1664798790 1950489690 2219731720 2600652920 2663678064 3120783504 3329597580 3900979380 4439463440 5201305840 6659195160 7801958760 13318390320 15603917520 41675463043 83350926086 125026389129 166701852172 208377315215 250052778258 333403704344 416754630430 500105556516 625131945645 666807408688 833509260860 1000211113032 1250263891290 1667018521720 2000422226064 2500527782580 3334037043440 5001055565160 10002111130320