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13140311522220 = 223251273217178681
BaseRepresentation
bin1011111100110111011110…
…0110011011101110101100
31201112012102220101101011200
42333031313212123232230
53210242324222202340
643540324211245500
72524233112016631
oct277156746335654
951465386341150
1013140311522220
114206858318113
12158281b8a9890
13744183c5088c
14335dccb86188
1517bc228e1330
hexbf37799bbac

13140311522220 has 144 divisors (see below), whose sum is σ = 40185507468288. Its totient is φ = 3475391754240.

The previous prime is 13140311522189. The next prime is 13140311522227. The reversal of 13140311522220 is 2222511304131.

It is a happy number.

13140311522220 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 1 + 15 + 22 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (13140311522227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73451280 + ... + 73629960.

Almost surely, 213140311522220 is an apocalyptic number.

13140311522220 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 13140311522220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092753734144).

13140311522220 is an abundant number, since it is smaller than the sum of its proper divisors (27045195946068).

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

13140311522220 is a wasteful number, since it uses less digits than its factorization.

13140311522220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182040 (or 182035 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13140311522220 its reverse (2222511304131), we get a palindrome (15362822826351).

The spelling of 13140311522220 in words is "thirteen trillion, one hundred forty billion, three hundred eleven million, five hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3217 3810 4572 5715 6434 7620 9651 11430 12868 16085 19302 22860 28953 32170 38604 48255 57906 64340 96510 115812 144765 178681 193020 289530 357362 408559 536043 579060 714724 817118 893405 1072086 1225677 1608129 1634236 1786810 2042795 2144172 2451354 2680215 3216258 3573620 3677031 4085590 4902708 5360430 6128385 6432516 7354062 8040645 8171180 10720860 12256770 14708124 16081290 18385155 22692487 24513540 32162580 36770310 45384974 68077461 73540620 90769948 113462435 136154922 204232383 226924870 272309844 340387305 408464766 453849740 574816777 680774610 816929532 1021161915 1149633554 1361549220 1724450331 2042323830 2299267108 2874083885 3448900662 4084647660 5173350993 5748167770 6897801324 8622251655 10346701986 11496335540 17244503310 20693403972 25866754965 34489006620 51733509930 73001730679 103467019860 146003461358 219005192037 292006922716 365008653395 438010384074 657015576111 730017306790 876020768148 1095025960185 1314031152222 1460034613580 2190051920370 2628062304444 3285077880555 4380103840740 6570155761110 13140311522220