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30210330031332 = 223111572336256421
BaseRepresentation
bin1101101111001111000111…
…11111010111010011100100
310221222002010211202101222120
412313213203333113103210
512424431223442000312
6144130233425425540
76235424066223513
oct667474377272344
9127862124671876
1030210330031332
1196981467a2730
12347ab6a49b2b0
1313b1a8b92c9a9
1476628b38067a
15375c9009d28c
hex1b79e3fd74e4

30210330031332 has 96 divisors (see below), whose sum is σ = 77720977885824. Its totient is φ = 9057294105600.

The previous prime is 30210330031331. The next prime is 30210330031411. The reversal of 30210330031332 is 23313003301203.

It is not an unprimeable number, because it can be changed into a prime (30210330031331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1700482 + ... + 7956902.

It is an arithmetic number, because the mean of its divisors is an integer number (809593519644).

Almost surely, 230210330031332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30210330031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38860488942912).

30210330031332 is an abundant number, since it is smaller than the sum of its proper divisors (47510647854492).

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

30210330031332 is a wasteful number, since it uses less digits than its factorization.

30210330031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256829 (or 6256827 counting only the distinct ones).

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

Adding to 30210330031332 its reverse (23313003301203), we get a palindrome (53523333332535).

The spelling of 30210330031332 in words is "thirty trillion, two hundred ten billion, three hundred thirty million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 233 314 466 471 628 699 932 942 1398 1727 1884 2563 2796 3454 5126 5181 6908 7689 10252 10362 15378 20724 30756 36581 73162 109743 146324 219486 402391 438972 804782 1207173 1609564 2414346 4828692 6256421 12512842 18769263 25025684 37538526 68820631 75077052 137641262 206461893 275282524 412923786 825847572 982258097 1457746093 1964516194 2915492186 2946774291 3929032388 4373238279 5830984372 5893548582 8746476558 10804839067 11787097164 16035207023 17492953116 21609678134 32070414046 32414517201 43219356268 48105621069 64140828092 64829034402 96211242138 129658068804 192422484276 228866136601 457732273202 686598409803 915464546404 1373196819606 2517527502611 2746393639212 5035055005222 7552582507833 10070110010444 15105165015666 30210330031332