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10133311233201 = 313378327971279
BaseRepresentation
bin1001001101110101100001…
…1010101001110010110001
31022212201211212211120110220
42103131120122221302301
52312011010133430301
633315102351243253
72064051620210622
oct223353032516261
938781755746426
1010133311233201
11325757101a712
121177aa1519529
1358674b046330
14270652299a49
151288cd827936
hex937586a9cb1

10133311233201 has 96 divisors (see below), whose sum is σ = 15156682383360. Its totient is φ = 5982044078592.

The previous prime is 10133311233193. The next prime is 10133311233271. The reversal of 10133311233201 is 10233211333101.

10133311233201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10133311233201 - 23 = 10133311233193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133311233271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7922838480 + ... + 7922839758.

It is an arithmetic number, because the mean of its divisors is an integer number (157882108160).

Almost surely, 210133311233201 is an apocalyptic number.

It is an amenable number.

10133311233201 is a deficient number, since it is larger than the sum of its proper divisors (5023371150159).

10133311233201 is a wasteful number, since it uses less digits than its factorization.

10133311233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10133311233201 its reverse (10233211333101), we get a palindrome (20366522566302).

The spelling of 10133311233201 in words is "ten trillion, one hundred thirty-three billion, three hundred eleven million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 13 37 39 83 111 249 481 797 1079 1279 1443 2391 3071 3237 3837 6889 9213 10361 16627 20667 29489 31083 39923 47323 49881 66151 88467 89557 106157 119769 141969 198453 254893 268671 318471 383357 615199 764679 859963 1019363 1150071 1380041 1845597 2447587 2579889 3058089 3313609 3927809 4140123 5490533 7342761 8811031 9940827 11783427 13251719 16471599 26433093 31818631 37716431 39755157 51061517 71376929 84607129 95455893 113149293 114543403 153184551 203149721 214130787 253821387 326008147 343630209 490313603 609449163 978024441 1099892677 1470940809 2640946373 3130463773 3299678031 4238105911 7022391707 7922839119 9391391319 12714317733 21067175121 40696029049 91291092191 122088087147 259828493159 273873276573 779485479477 3377770411067 10133311233201