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23001110202114 = 232112339237120947
BaseRepresentation
bin1010011101011010111010…
…00000001100011100000010
310000102212212220202220002200
411032231131000030130002
511003322233202431424
6120530321505054030
74562526644602602
oct516553500143402
9100385786686080
1023001110202114
117368797087020
1226b5929327316
13caacc2b27165
1459738c78ac02
1529d4a1cc88c9
hex14eb5d00c702

23001110202114 has 96 divisors (see below), whose sum is σ = 54415040958720. Its totient is φ = 6963782565600.

The previous prime is 23001110202107. The next prime is 23001110202121. The reversal of 23001110202114 is 41120201110032.

It is an interprime number because it is at equal distance from previous prime (23001110202107) and next prime (23001110202121).

It is a super-3 number, since 3×230011102021143 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098051789 + ... + 1098072735.

It is an arithmetic number, because the mean of its divisors is an integer number (566823343320).

Almost surely, 223001110202114 is an apocalyptic number.

23001110202114 is an abundant number, since it is smaller than the sum of its proper divisors (31413930756606).

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

23001110202114 is a wasteful number, since it uses less digits than its factorization.

23001110202114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25676 (or 25673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 23001110202114 its reverse (41120201110032), we get a palindrome (64121311312146).

The spelling of 23001110202114 in words is "twenty-three trillion, one billion, one hundred ten million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2339 2371 4678 4742 7017 7113 14034 14226 20947 21051 21339 25729 26081 41894 42102 42678 51458 52162 62841 77187 78243 125682 154374 156486 188523 230417 231561 234729 377046 460834 463122 469458 691251 1382502 2073753 4147506 5545769 11091538 16637307 33274614 48995033 49665337 49911921 61003459 97990066 99330674 99823842 122006918 146985099 148996011 183010377 293970198 297992022 366020754 440955297 446988033 538945363 546318707 549031131 881910594 893976066 1077890726 1092637414 1098062262 1616836089 1638956121 3233672178 3277912242 4850508267 4916868363 9701016534 9833736726 116167223243 232334446486 348501669729 697003339458 1045505009187 1277839455673 2091010018374 2555678911346 3833518367019 7667036734038 11500555101057 23001110202114