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23431013303120 = 24519191266330307
BaseRepresentation
bin1010101001111011101010…
…01110011000001101010000
310001221222112121022012000222
411110331311032120031100
511032343203401144440
6121500020420332212
74635556231634243
oct524756516301520
9101858477265028
1023431013303120
117514045189835
122765106b44068
13100c6c57313b7
145b00d217325a
152a9763a5a2b5
hex154f75398350

23431013303120 has 160 divisors (see below), whose sum is σ = 57668103290880. Its totient is φ = 8829025159680.

The previous prime is 23431013303057. The next prime is 23431013303153. The reversal of 23431013303120 is 2130331013432.

It is a self number, because there is not a number n which added to its sum of digits gives 23431013303120.

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, 773107007 + ... + 773137313.

It is an arithmetic number, because the mean of its divisors is an integer number (360425645568).

Almost surely, 223431013303120 is an apocalyptic number.

23431013303120 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 23431013303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28834051645440).

23431013303120 is an abundant number, since it is smaller than the sum of its proper divisors (34237089987760).

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

23431013303120 is a wasteful number, since it uses less digits than its factorization.

23431013303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33193 (or 33187 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 23431013303120 its reverse (2130331013432), we get a palindrome (25561344316552).

The spelling of 23431013303120 in words is "twenty-three trillion, four hundred thirty-one billion, thirteen million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 191 304 380 382 760 764 955 1520 1528 1910 2663 3056 3629 3820 5326 7258 7640 10652 13315 14516 15280 18145 21304 26630 29032 30307 36290 42608 50597 53260 58064 60614 72580 101194 106520 121228 145160 151535 202388 213040 242456 252985 290320 303070 404776 484912 505970 508633 575833 606140 809552 1011940 1017266 1151666 1212280 2023880 2034532 2303332 2424560 2543165 2879165 4047760 4069064 4606664 5086330 5758330 5788637 8138128 9213328 9664027 10172660 11516660 11577274 19328054 20345320 23033320 23154548 28943185 38656108 40690640 46066640 46309096 48320135 57886370 77312216 80707541 92618192 96640270 109984103 115772740 154624432 161415082 193280540 219968206 231545480 322830164 386561080 403537705 439936412 463090960 549920515 645660328 773122160 807075410 879872824 1099841030 1291320656 1533443279 1614150820 1759745648 2199682060 3066886558 3228301640 4399364120 6133773116 6456603280 7667216395 8798728240 12267546232 15334432790 15415140331 24535092464 30668865580 30830280662 61337731160 61660561324 77075701655 122675462320 123321122648 154151403310 246642245296 292887666289 308302806620 585775332578 616605613240 1171550665156 1233211226480 1464438331445 2343101330312 2928876662890 4686202660624 5857753325780 11715506651560 23431013303120