Search a number
-
+
133102322120020 = 225119914513135277
BaseRepresentation
bin11110010000111001001100…
…101000001111010101010100
3122110021110100200101211021211
4132100321030220033111110
5114421222023430320040
61151030210155351204
740015216423504351
oct3620711450172524
9573243320354254
10133102322120020
1139457417959160
1212b18156452504
135936658a13026
1424c22886a1628
15105c46bd178ea
hex790e4ca0f554

133102322120020 has 96 divisors (see below), whose sum is σ = 305302905363456. Its totient is φ = 48340932710400.

The previous prime is 133102322119981. The next prime is 133102322120021. The reversal of 133102322120020 is 20021223201331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133102322119973 and 133102322120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102322120021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983856622 + ... + 983991898.

It is an arithmetic number, because the mean of its divisors is an integer number (3180238597536).

Almost surely, 2133102322120020 is an apocalyptic number.

133102322120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133102322120020 is an abundant number, since it is smaller than the sum of its proper divisors (172200583243436).

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

133102322120020 is a wasteful number, since it uses less digits than its factorization.

133102322120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140801 (or 140799 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 133102322120020 its reverse (20021223201331), we get a palindrome (153123545321351).

The spelling of 133102322120020 in words is "one hundred thirty-three trillion, one hundred two billion, three hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 991 1982 3964 4513 4955 9026 9910 10901 18052 19820 21802 22565 43604 45130 49643 54505 90260 99286 109010 135277 198572 218020 248215 270554 496430 541108 676385 992860 1352770 1488047 2705540 2976094 4472383 5952188 7440235 8944766 14880470 17889532 22361915 29760940 44723830 49196213 89447660 98392426 134059507 196784852 245981065 268119014 491962130 536238028 610505101 670297535 983924260 1221010202 1340595070 1474654577 2442020404 2681190140 2949309154 3052525505 5898618308 6105051010 6715556111 7373272885 12210102020 13431112222 14746545770 26862224444 29493091540 33577780555 67155561110 134311122220 605010555091 1210021110182 2420042220364 3025052775455 6050105550910 6655116106001 12100211101820 13310232212002 26620464424004 33275580530005 66551161060010 133102322120020