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133333303333332 = 223172437191243547
BaseRepresentation
bin11110010100010000010100…
…001011101001000111010100
3122111002112120011022012210010
4132110100110023221013110
5114434013101123131312
61151324250212400220
740041004360434414
oct3624202413510724
9574075504265703
10133333303333332
1139536377815483
1212b54a79616070
13595237978738b
1424cd51b248644
15106348a0d593c
hex7944142e91d4

133333303333332 has 144 divisors (see below), whose sum is σ = 338644583101440. Its totient is φ = 40800406015488.

The previous prime is 133333303333283. The next prime is 133333303333339. The reversal of 133333303333332 is 233333303333331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133333303333339) 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, 106598383 + ... + 107841929.

It is an arithmetic number, because the mean of its divisors is an integer number (2351698493760).

Almost surely, 2133333303333332 is an apocalyptic number.

133333303333332 is a gapful number since it is divisible by the number (12) 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 133333303333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169322291550720).

133333303333332 is an abundant number, since it is smaller than the sum of its proper divisors (205311279768108).

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

133333303333332 is a wasteful number, since it uses less digits than its factorization.

133333303333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244350 (or 1244331 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 39.

Adding to 133333303333332 its reverse (233333303333331), we get a palindrome (366666606666663).

Subtracting 133333303333332 from its reverse (233333303333331), we obtain a palindrome (99999999999999).

The spelling of 133333303333332 in words is "one hundred thirty-three trillion, three hundred thirty-three billion, three hundred three million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 289 516 578 719 731 867 1156 1438 1462 1734 2157 2193 2876 2924 3468 4314 4386 8628 8772 12223 12427 24446 24854 30917 36669 37281 48892 49708 61834 73338 74562 92751 123668 146676 149124 185502 207791 371004 415582 525589 623373 831164 1051178 1243547 1246746 1576767 2102356 2487094 2493492 3153534 3730641 4974188 6307068 7461282 8935013 14922564 17870026 21140299 26805039 35740052 42280598 53472521 53610078 63420897 84561196 106945042 107220156 126841794 160417563 213890084 253683588 320835126 359385083 641670252 718770166 894110293 909032857 1078155249 1437540332 1788220586 1818065714 2156310498 2682330879 2727098571 3576441172 3636131428 4312620996 5364661758 5454197142 10729323516 10908394284 15199874981 15453558569 30399749962 30907117138 38446742599 45599624943 46360675707 60799499924 61814234276 76893485198 91199249886 92721351414 115340227797 153786970396 182398499772 185442702828 230680455594 258397874677 461360911188 516795749354 653594624183 775193624031 1033591498708 1307189248366 1550387248062 1960783872549 2614378496732 3100774496124 3921567745098 7843135490196 11111108611111 22222217222222 33333325833333 44444434444444 66666651666666 133333303333332