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101010321233320 = 23517967735120897
BaseRepresentation
bin10110111101111001001100…
…010100001101010110101000
3111020122111021221221221011111
4112331321030110031112220
5101214423114213431240
6554455300113040104
730163516632006442
oct2675711424152650
9436574257857144
10101010321233320
112a204267003464
12b3b4588256034
134449303822625
141ad2cd5d1b492
15ba279c1e91ea
hex5bde4c50d5a8

101010321233320 has 128 divisors (see below), whose sum is σ = 240935389263360. Its totient is φ = 37981104537600.

The previous prime is 101010321233281. The next prime is 101010321233429. The reversal of 101010321233320 is 23332123010101.

It is a junction number, because it is equal to n+sod(n) for n = 101010321233291 and 101010321233300.

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, 4833713112 + ... + 4833734008.

It is an arithmetic number, because the mean of its divisors is an integer number (1882307728620).

Almost surely, 2101010321233320 is an apocalyptic number.

101010321233320 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 101010321233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120467694631680).

101010321233320 is an abundant number, since it is smaller than the sum of its proper divisors (139925068030040).

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

101010321233320 is a wasteful number, since it uses less digits than its factorization.

101010321233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29243 (or 29239 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101010321233320 its reverse (23332123010101), we get a palindrome (124342444243421).

The spelling of 101010321233320 in words is "one hundred one trillion, ten billion, three hundred twenty-one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 967 1934 3868 4835 7351 7736 9670 14702 16439 19340 20897 29404 32878 36755 38680 41794 58808 65756 73510 82195 83588 104485 124967 131512 147020 164390 167176 208970 249934 294040 328780 355249 417940 499868 624835 657560 710498 835880 999736 1249670 1420996 1776245 2499340 2841992 3552490 4998680 7104980 7108417 14209960 14216834 20207399 28433668 35542085 40414798 56867336 71084170 80829596 101036995 120843089 142168340 153613847 161659192 202073990 241686178 284336680 307227694 343525783 404147980 483372356 604215445 614455388 687051566 768069235 808295960 966744712 1208430890 1228910776 1374103132 1536138470 1717628915 2416861780 2611435399 2748206264 3072276940 3435257830 4833723560 5222870798 6144553880 6870515660 10445741596 13057176995 13741031320 20891483192 26114353990 52228707980 104457415960 148544590049 297089180098 594178360196 742722950245 1188356720392 1485445900490 2525258030833 2970891800980 5050516061666 5941783601960 10101032123332 12626290154165 20202064246664 25252580308330 50505160616660 101010321233320