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113331202101 = 32132411817341
BaseRepresentation
bin110100110001100010…
…0001110100000110101
3101211112020122120120200
41221203010032200311
53324100241431401
6124021424551113
711121311215635
oct1514304164065
9354466576520
10113331202101
11440775665a7
1219b6a482499
13a8c16b5400
1456b17a26c5
152e347b0686
hex1a6310e835

113331202101 has 36 divisors (see below), whose sum is σ = 181585177956. Its totient is φ = 68041209600.

The previous prime is 113331202079. The next prime is 113331202111. The reversal of 113331202101 is 101202133311.

113331202101 is a `hidden beast` number, since 1 + 1 + 333 + 120 + 210 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12293043876 + 101038158225 = 110874^2 + 317865^2 .

It is not a de Polignac number, because 113331202101 - 25 = 113331202069 is a prime.

It is a super-2 number, since 2×1133312021012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331202111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 846310 + ... + 971031.

It is an arithmetic number, because the mean of its divisors is an integer number (5044032721).

Almost surely, 2113331202101 is an apocalyptic number.

It is an amenable number.

113331202101 is a deficient number, since it is larger than the sum of its proper divisors (68253975855).

113331202101 is a wasteful number, since it uses less digits than its factorization.

113331202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817414 (or 1817398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113331202101 its reverse (101202133311), we get a palindrome (214533335412).

The spelling of 113331202101 in words is "one hundred thirteen billion, three hundred thirty-one million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 13 39 41 117 123 169 369 507 533 1521 1599 4797 6929 20787 62361 1817341 5452023 16356069 23625433 70876299 74510981 212628897 223532943 307130629 670598829 921391887 968642753 2764175661 2905928259 8717784777 12592355789 37777067367 113331202101