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23331314033430 = 235132271181223151
BaseRepresentation
bin1010100111000001111101…
…01011110110001100010110
310001121110012101112112012220
411103200332223312030112
511024230012343032210
6121342131355123210
74625426466056424
oct523407653661426
9101543171475186
1023331314033430
117485833586887
122749921a43506
131003197316cb0
145a9355036114
152a6d7ae25c70
hex15383eaf6316

23331314033430 has 128 divisors (see below), whose sum is σ = 60619679963136. Its totient is φ = 5712925632000.

The previous prime is 23331314033389. The next prime is 23331314033507. The reversal of 23331314033430 is 3433041313332.

It is a junction number, because it is equal to n+sod(n) for n = 23331314033391 and 23331314033400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104442355 + ... + 104665505.

It is an arithmetic number, because the mean of its divisors is an integer number (473591249712).

Almost surely, 223331314033430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23331314033430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30309839981568).

23331314033430 is an abundant number, since it is smaller than the sum of its proper divisors (37288365929706).

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

23331314033430 is a wasteful number, since it uses less digits than its factorization.

23331314033430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224582.

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 23331314033430 its reverse (3433041313332), we get a palindrome (26764355346762).

The spelling of 23331314033430 in words is "twenty-three trillion, three hundred thirty-one billion, three hundred fourteen million, thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 1135 1181 1362 2270 2362 2951 3405 3543 5902 5905 6810 7086 8853 11810 14755 15353 17706 17715 29510 30706 35430 44265 46059 76765 88530 92118 153530 223151 230295 268087 446302 460590 536174 669453 804261 1115755 1338906 1340435 1608522 2231510 2680870 2900963 3347265 3485131 4021305 5801926 6694530 6970262 8042610 8702889 10455393 14504815 17405778 17425655 20910786 29009630 34851310 43514445 50655277 52276965 87028890 101310554 104553930 151965831 253276385 263541331 303931662 506552770 527082662 658518601 759829155 790623993 1317037202 1317706655 1519658310 1581247986 1975555803 2635413310 3292593005 3426037303 3951111606 3953119965 6585186010 6852074606 7906239930 9877779015 10278111909 17130186515 19755558030 20556223818 34260373030 51390559545 59823882137 102781119090 119647764274 179471646411 299119410685 358943292822 598238821370 777710467781 897358232055 1555420935562 1794716464110 2333131403343 3888552338905 4666262806686 7777104677810 11665657016715 23331314033430