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1330010214104 = 23111323291743023
BaseRepresentation
bin10011010110101010110…
…010010100111011011000
311201010222200212021201102
4103112222302110323120
5133242330103322404
62454555342410532
7165042615201065
oct23265262247330
94633880767642
101330010214104
11473066102230
12195921890a48
139855b627690
14485310d1c6c
15248e38ba71e
hex135aac94ed8

1330010214104 has 128 divisors (see below), whose sum is σ = 3162542745600. Its totient is φ = 515376744960.

The previous prime is 1330010214103. The next prime is 1330010214119. The reversal of 1330010214104 is 4014120100331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330010214103) 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, 108464 + ... + 1634559.

It is an arithmetic number, because the mean of its divisors is an integer number (24707365200).

Almost surely, 21330010214104 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 1330010214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581271372800).

1330010214104 is an abundant number, since it is smaller than the sum of its proper divisors (1832532531496).

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

1330010214104 is a wasteful number, since it uses less digits than its factorization.

1330010214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743105 (or 1743101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1330010214104 its reverse (4014120100331), we get a palindrome (5344130314435).

The spelling of 1330010214104 in words is "one trillion, three hundred thirty billion, ten million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 23 26 29 44 46 52 58 88 92 104 116 143 184 232 253 286 299 319 377 506 572 598 638 667 754 1012 1144 1196 1276 1334 1508 2024 2392 2552 2668 3016 3289 4147 5336 6578 7337 8294 8671 13156 14674 16588 17342 26312 29348 33176 34684 58696 69368 95381 190762 381524 763048 1743023 3486046 6972092 13944184 19173253 22659299 38346506 40089529 45318598 50547667 76693012 80179058 90637196 101095334 153386024 160358116 181274392 202190668 249252289 320716232 404381336 440984819 498504578 521163877 556024337 657119671 881969638 997009156 1042327754 1112048674 1162596341 1314239342 1763939276 1994018312 2084655508 2224097348 2325192682 2628478684 3527878552 4169311016 4448194696 4650385364 5256957368 5732802647 7228316381 9300770728 11465605294 12788559751 14456632762 15113752433 22931210588 25577119502 28913265524 30227504866 45862421176 51154239004 57826531048 60455009732 102308478008 120910019464 166251276763 332502553526 665005107052 1330010214104