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230320032103320 = 233550911527327127
BaseRepresentation
bin110100010111100110001111…
…101100101011101110011000
31010012111101021001012010112020
4310113212033230223232120
5220142030411204301240
62133503321223214440
766341034051012105
oct6427461754535630
91105441231163466
10230320032103320
11674291a4767395
12219b96948a7420
139b69116764ab3
1440c3798793aac
151b96244ed50d0
hexd1798fb2bb98

230320032103320 has 128 divisors (see below), whose sum is σ = 692379758822400. Its totient is φ = 61292504710656.

The previous prime is 230320032103247. The next prime is 230320032103331. The reversal of 230320032103320 is 23301230023032.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 703905597 + ... + 704232723.

It is an arithmetic number, because the mean of its divisors is an integer number (5409216865800).

Almost surely, 2230320032103320 is an apocalyptic number.

230320032103320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230320032103320 is an abundant number, since it is smaller than the sum of its proper divisors (462059726719080).

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

230320032103320 is a wasteful number, since it uses less digits than its factorization.

230320032103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339177 (or 339173 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230320032103320 its reverse (23301230023032), we get a palindrome (253621262126352).

The spelling of 230320032103320 in words is "two hundred thirty trillion, three hundred twenty billion, thirty-two million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 10180 11527 12216 15270 20360 23054 30540 34581 46108 57635 61080 69162 92216 115270 138324 172905 230540 276648 327127 345810 461080 654254 691620 981381 1308508 1383240 1635635 1962762 2617016 3271270 3925524 4906905 5867243 6542540 7851048 9813810 11734486 13085080 17601729 19627620 23468972 29336215 35203458 39255240 46937944 58672430 70406916 88008645 117344860 140813832 166507643 176017290 234689720 333015286 352034580 499522929 666030572 704069160 832538215 999045858 1332061144 1665076430 1998091716 2497614645 3330152860 3770792929 3996183432 4995229290 6660305720 7541585858 9990458580 11312378787 15083171716 18853964645 19980917160 22624757574 30166343432 37707929290 45249515148 56561893935 75415858580 90499030296 113123787870 150831717160 226247575740 452495151480 1919333600861 3838667201722 5758000802583 7677334403444 9596668004305 11516001605166 15354668806888 19193336008610 23032003210332 28790004012915 38386672017220 46064006420664 57580008025830 76773344034440 115160016051660 230320032103320