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30201132132324 = 2232157181241122497
BaseRepresentation
bin1101101110111101111111…
…10000001010011111100100
310221221012101211021201120100
412313132333300022133210
512424303404311213244
6144122113014504100
76234650131325436
oct667367760123744
9127835354251510
1030201132132324
119694256823aaa
123479222065030
1313b0c5417c7ba
14765a57972656
1537590282eb69
hex1b77bfc0a7e4

30201132132324 has 144 divisors (see below), whose sum is σ = 77573650890736. Its totient is φ = 9906300518400.

The previous prime is 30201132132229. The next prime is 30201132132331. The reversal of 30201132132324 is 42323123110203.

30201132132324 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 11 + 321 + 3 + 2 + 324 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3473452238400 + 26727679893924 = 1863720^2 + 5169882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246484644 + ... + 246607140.

Almost surely, 230201132132324 is an apocalyptic number.

It is an amenable number.

30201132132324 is an abundant number, since it is smaller than the sum of its proper divisors (47372518758412).

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

30201132132324 is a wasteful number, since it uses less digits than its factorization.

30201132132324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123086 (or 123081 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30201132132324 its reverse (42323123110203), we get a palindrome (72524255242527).

The spelling of 30201132132324 in words is "thirty trillion, two hundred one billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 181 241 314 362 471 482 543 628 723 724 942 964 1086 1413 1446 1629 1884 2169 2172 2826 2892 3258 4338 5652 6516 8676 28417 37837 43621 56834 75674 85251 87242 113511 113668 122497 130863 151348 170502 174484 227022 244994 255753 261726 340533 341004 367491 392589 454044 489988 511506 523452 681066 734982 785178 1023012 1102473 1362132 1469964 1570356 2204946 4409892 6848497 13696994 19232029 20545491 22171957 27393988 29521777 38464058 41090982 44343914 57696087 59043554 61636473 66515871 76928116 82181964 88565331 88687828 115392174 118087108 123272946 133031742 173088261 177130662 199547613 230784348 246545892 265695993 266063484 346176522 354261324 399095226 531391986 692353044 798190452 1062783972 3480997249 4634918989 5343441637 6961994498 9269837978 10442991747 10686883274 13904756967 13923988996 16030324911 18539675956 20885983494 21373766548 27809513934 31328975241 32060649822 41714270901 41771966988 48090974733 55619027868 62657950482 64121299644 83428541802 96181949466 125315900964 166857083604 192363898932 838920337009 1677840674018 2516761011027 3355681348036 5033522022054 7550283033081 10067044044108 15100566066162 30201132132324