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121313350340 = 225721367142123
BaseRepresentation
bin111000011111011010…
…1101101001011000100
3102121010112110201110122
41300332311231023010
53441422204202330
6131421450041112
711523154315100
oct1607665551304
9377115421418
10121313350340
11474a3250726
121b617719198
13b594317b50
145c2b940900
1532504315e5
hex1c3ed6d2c4

121313350340 has 144 divisors (see below), whose sum is σ = 323913102912. Its totient is φ = 37820369664.

The previous prime is 121313350331. The next prime is 121313350349. The reversal of 121313350340 is 43053313121.

It is an interprime number because it is at equal distance from previous prime (121313350331) and next prime (121313350349).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (121313350349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782519 + ... + 924641.

It is an arithmetic number, because the mean of its divisors is an integer number (2249396548).

Almost surely, 2121313350340 is an apocalyptic number.

121313350340 is a gapful number since it is divisible by the number (10) 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 121313350340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161956551456).

121313350340 is an abundant number, since it is smaller than the sum of its proper divisors (202599752572).

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

121313350340 is a wasteful number, since it uses less digits than its factorization.

121313350340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142226 (or 142217 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 121313350340 its reverse (43053313121), we get a palindrome (164366663461).

The spelling of 121313350340 in words is "one hundred twenty-one billion, three hundred thirteen million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 67 70 91 98 130 134 140 182 196 245 260 268 335 364 455 469 490 637 670 871 910 938 980 1274 1340 1742 1820 1876 2345 2548 3185 3283 3484 4355 4690 6097 6370 6566 8710 9380 12194 12740 13132 16415 17420 24388 30485 32830 42679 60970 65660 85358 121940 142123 170716 213395 284246 426790 568492 710615 853580 994861 1421230 1847599 1989722 2842460 3695198 3979444 4974305 6964027 7390396 9237995 9522241 9948610 12933193 13928054 18475990 19044482 19897220 25866386 27856108 34820135 36951980 38088964 47611205 51732772 64665965 66655687 69640270 90532351 95222410 123789133 129331930 133311374 139280540 181064702 190444820 247578266 258663860 266622748 333278435 362129404 452661755 466589809 495156532 618945665 666556870 866523931 905323510 933179618 1237891330 1333113740 1733047862 1810647020 1866359236 2332949045 2475782660 3466095724 4332619655 4665898090 6065667517 8665239310 9331796180 12131335034 17330478620 24262670068 30328337585 60656675170 121313350340