Search a number
-
+
131052322450340 = 22537838923974243
BaseRepresentation
bin11101110011000011111111…
…001000000110101110100100
3122012000110221200100120210222
4131303003333020012232210
5114134130124021402330
61142420334504103512
736414134502020504
oct3563037710065644
9565013850316728
10131052322450340
1138836a83550515
1212846999764b98
1358182477c63c5
142450d75569a04
151023e8950d0e5
hex7730ff206ba4

131052322450340 has 96 divisors (see below), whose sum is σ = 289267474285440. Its totient is φ = 49823461518336.

The previous prime is 131052322450271. The next prime is 131052322450421. The reversal of 131052322450340 is 43054223250131.

It is a super-2 number, since 2×1310523224503402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131052322450340.

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, 6520742 + ... + 17453501.

It is an arithmetic number, because the mean of its divisors is an integer number (3013202857140).

Almost surely, 2131052322450340 is an apocalyptic number.

131052322450340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131052322450340 is an abundant number, since it is smaller than the sum of its proper divisors (158215151835100).

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

131052322450340 is a wasteful number, since it uses less digits than its factorization.

131052322450340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23974461 (or 23974459 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 131052322450340 in words is "one hundred thirty-one trillion, fifty-two billion, three hundred twenty-two million, four hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 89 148 166 178 185 332 356 370 415 445 740 830 890 1660 1780 3071 3293 6142 6586 7387 12284 13172 14774 15355 16465 29548 30710 32930 36935 61420 65860 73870 147740 273319 546638 1093276 1366595 2733190 5466380 23974243 47948486 95896972 119871215 239742430 479484860 887046991 1774093982 1989862169 2133707627 3548187964 3979724338 4267415254 4435234955 7959448676 8534830508 8870469910 9949310845 10668538135 17740939820 19898621690 21337076270 39797243380 42674152540 73624900253 78947182199 147249800506 157894364398 177097733041 294499601012 315788728796 354195466082 368124501265 394735910995 708390932164 736249002530 789471821990 885488665205 1472498005060 1578943643980 1770977330410 3541954660820 6552616122517 13105232245034 26210464490068 32763080612585 65526161225170 131052322450340