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13212143430024 = 2337117849791079
BaseRepresentation
bin1100000001000011000100…
…0111011010100110001000
31201210001211222210101010110
43000100301013122212020
53212431432204230044
644033324102314320
72532355142116440
oct300206107324610
951701758711113
1013212143430024
114234269587680
1215947281289a0
1374ab90a7a736
14339684bbd120
1517da28c5e6b9
hexc04311da988

13212143430024 has 128 divisors (see below), whose sum is σ = 41181683558400. Its totient is φ = 3431644170240.

The previous prime is 13212143430023. The next prime is 13212143430061. The reversal of 13212143430024 is 42003434121231.

It is a junction number, because it is equal to n+sod(n) for n = 13212143429973 and 13212143430000.

It is not an unprimeable number, because it can be changed into a prime (13212143430023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145016917 + ... + 145107995.

It is an arithmetic number, because the mean of its divisors is an integer number (321731902800).

Almost surely, 213212143430024 is an apocalyptic number.

13212143430024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13212143430024 is an abundant number, since it is smaller than the sum of its proper divisors (27969540128376).

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

13212143430024 is a wasteful number, since it uses less digits than its factorization.

13212143430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169603 (or 169599 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13212143430024 its reverse (42003434121231), we get a palindrome (55215577551255).

The spelling of 13212143430024 in words is "thirteen trillion, two hundred twelve billion, one hundred forty-three million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 78497 91079 156994 182158 235491 273237 313988 364316 470982 546474 549479 627976 637553 728632 863467 941964 1001869 1092948 1098958 1275106 1648437 1726934 1883928 1912659 2003738 2185896 2197916 2550212 2590401 3005607 3296874 3453868 3825318 4007476 4395832 5100424 5180802 6011214 6044269 6593748 6907736 7013083 7650636 8014952 10361604 12022428 12088538 13187496 14026166 15301272 18132807 20723208 21039249 24044856 24177076 28052332 36265614 42078498 48354152 56104664 72531228 84156996 145062456 168313992 7149428263 14298856526 21448284789 28597713052 42896569578 50045997841 57195426104 78643710893 85793139156 100091995682 150137993523 157287421786 171586278312 200183991364 235931132679 300275987046 314574843572 400367982728 471862265358 550505976251 600551974092 629149687144 943724530716 1101011952502 1201103948184 1651517928753 1887449061432 2202023905004 3303035857506 4404047810008 6606071715012 13212143430024