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30032023131033 = 3711212793062819
BaseRepresentation
bin1101101010000011000000…
…00100100001001110011001
310221100000220022212100220020
412311001200010201032121
512414021040410143113
6143512304310021053
76216512346456240
oct665014004411631
9127300808770806
1030032023131033
119629567140400
1234504a7947789
13139b0139b9cb1
1475b7b4391957
15371306334023
hex1b5060121399

30032023131033 has 48 divisors (see below), whose sum is σ = 50697646325760. Its totient is φ = 15478207889760.

The previous prime is 30032023131029. The next prime is 30032023131037. The reversal of 30032023131033 is 33013132023003.

It is an interprime number because it is at equal distance from previous prime (30032023131029) and next prime (30032023131037).

It is not a de Polignac number, because 30032023131033 - 22 = 30032023131029 is a prime.

It is a super-3 number, since 3×300320231310333 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30032023130994 and 30032023131012.

It is not an unprimeable number, because it can be changed into a prime (30032023131037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46208703 + ... + 46854116.

It is an arithmetic number, because the mean of its divisors is an integer number (1056200965120).

Almost surely, 230032023131033 is an apocalyptic number.

30032023131033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

30032023131033 is a deficient number, since it is larger than the sum of its proper divisors (20665623194727).

30032023131033 is a wasteful number, since it uses less digits than its factorization.

30032023131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93062978 (or 93062967 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 30032023131033 its reverse (33013132023003), we get a palindrome (63045155154036).

The spelling of 30032023131033 in words is "thirty trillion, thirty-two billion, twenty-three million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 7 11 21 33 77 121 127 231 363 381 847 889 1397 2541 2667 4191 9779 15367 29337 46101 107569 322707 93062819 279188457 651439733 1023691009 1954319199 3071073027 7165837063 11260601099 11818978013 21497511189 33781803297 35456934039 78824207693 82732846091 130008758143 236472623079 248198538273 390026274429 910061307001 1430096339573 2730183921003 4290289018719 10010674377011 30032023131033