Search a number
-
+
232123003203020 = 2251719181119841167
BaseRepresentation
bin110100110001110101011001…
…001001100110110111001100
31010102212202001012101210120112
4310301311121021212313030
5220411100402304444040
62141403500251135152
766615222260340326
oct6461653111466714
91112782035353515
10232123003203020
1167a638a3968176
122204abb01444b8
139c6a14a3b2c57
144146b559a4616
151bc80ba7c4365
hexd31d59266dcc

232123003203020 has 96 divisors (see below), whose sum is σ = 543597209809920. Its totient is φ = 82742424099840.

The previous prime is 232123003202941. The next prime is 232123003203023. The reversal of 232123003203020 is 20302300321232.

It is not an unprimeable number, because it can be changed into a prime (232123003203023) 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, 1778477 + ... + 21619643.

It is an arithmetic number, because the mean of its divisors is an integer number (5662470935520).

Almost surely, 2232123003203020 is an apocalyptic number.

232123003203020 is a gapful number since it is divisible by the number (20) 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 232123003203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271798604904960).

232123003203020 is an abundant number, since it is smaller than the sum of its proper divisors (311474206606900).

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

232123003203020 is a wasteful number, since it uses less digits than its factorization.

232123003203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19843023 (or 19843021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 232123003203020 its reverse (20302300321232), we get a palindrome (252425303524252).

The spelling of 232123003203020 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, three million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 1811 3230 3622 6460 7244 9055 18110 30787 34409 36220 61574 68818 123148 137636 153935 172045 307870 344090 584953 615740 688180 1169906 2339812 2924765 5849530 11699060 19841167 39682334 79364668 99205835 198411670 337299839 376982173 396823340 674599678 753964346 1349199356 1507928692 1686499195 1884910865 3372998390 3769821730 6408696941 6745996780 7539643460 12817393882 25634787764 32043484705 35932353437 64086969410 71864706874 128173938820 143729413748 179661767185 359323534370 610850008429 682714715303 718647068740 1221700016858 1365429430606 2443400033716 2730858861212 3054250042145 3413573576515 6108500084290 6827147153030 11606150160151 12217000168580 13654294306060 23212300320302 46424600640604 58030750800755 116061501601510 232123003203020