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30001122031023 = 321113311997376547
BaseRepresentation
bin1101101001001001011100…
…01110001011010110101111
310221020002010202222211200200
412310210232032023112233
512413014244214443043
6143450154124124543
76214336525450533
oct664445616132657
9127202122884620
1030001122031023
11961744a293620
123446503096753
13139812aa34930
1475a0c23c1bc3
153705e85627d3
hex1b492e38b5af

30001122031023 has 96 divisors (see below), whose sum is σ = 52579740874752. Its totient is φ = 16234253625600.

The previous prime is 30001122030931. The next prime is 30001122031033. The reversal of 30001122031023 is 32013022110003.

30001122031023 is a `hidden beast` number, since 300 + 0 + 1 + 12 + 20 + 310 + 23 = 666.

It is not a de Polignac number, because 30001122031023 - 210 = 30001122029999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30001122030987 and 30001122031005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30001122031033) 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, 79486036 + ... + 79862582.

It is an arithmetic number, because the mean of its divisors is an integer number (547705634112).

Almost surely, 230001122031023 is an apocalyptic number.

30001122031023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30001122031023 is a deficient number, since it is larger than the sum of its proper divisors (22578618843729).

30001122031023 is a wasteful number, since it uses less digits than its factorization.

30001122031023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378605 (or 378602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30001122031023 its reverse (32013022110003), we get a palindrome (62014144141026).

The spelling of 30001122031023 in words is "thirty trillion, one billion, one hundred twenty-two million, thirty-one thousand, twenty-three".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 279 341 403 429 1023 1209 1287 1997 3069 3627 4433 5991 13299 17973 21967 25961 39897 61907 65901 77883 185721 197703 233649 285571 376547 557163 680977 804791 856713 1129641 2042931 2414373 2570139 3388923 4142017 4895111 6128793 7243119 8852701 11672957 12426051 14685333 26558103 35018871 37278153 44055999 53846221 79674309 105056613 128402527 151748441 161538663 385207581 455245323 484615989 751964359 1155622743 1365735969 1669232851 2255893077 5007698553 6767679231 8271607949 9775536667 15023095659 23310895129 24814823847 29326610001 69932685387 74444471541 87979830003 107530903337 209798056161 256419846419 303041636677 322592710011 769259539257 909124910031 967778130033 2307778617771 2727374730093 3333458003447 10000374010341 30001122031023