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1002333130020 = 223352964005947
BaseRepresentation
bin11101001010111111011…
…01011100110100100100
310112211012022121201012000
432211133231130310210
5112410234240130040
62044244313325300
7132262515013245
oct16453755346444
93484168551160
101002333130020
113570a5a15022
12142313406830
137369a770551
143672825accc
151b1164ce130
hexe95fb5cd24

1002333130020 has 96 divisors (see below), whose sum is σ = 3225899779200. Its totient is φ = 258071974272.

The previous prime is 1002333129947. The next prime is 1002333130031. The reversal of 1002333130020 is 200313332001.

1002333130020 is a `hidden beast` number, since 10 + 0 + 2 + 3 + 331 + 300 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002333129975 and 1002333130002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31987314 + ... + 32018633.

It is an arithmetic number, because the mean of its divisors is an integer number (33603122700).

Almost surely, 21002333130020 is an apocalyptic number.

1002333130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002333130020 is an abundant number, since it is smaller than the sum of its proper divisors (2223566649180).

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

1002333130020 is a wasteful number, since it uses less digits than its factorization.

1002333130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64005994 (or 64005986 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1002333130020 its reverse (200313332001), we get a palindrome (1202646462021).

The spelling of 1002333130020 in words is "one trillion, two billion, three hundred thirty-three million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 64005947 128011894 192017841 256023788 320029735 384035682 576053523 640059470 768071364 960089205 1152107046 1280118940 1728160569 1856172463 1920178410 2304214092 2880267615 3456321138 3712344926 3840356820 5568517389 5760535230 6912642276 7424689852 8640802845 9280862315 11137034778 11521070460 16705552167 17281605690 18561724630 22274069556 27842586945 33411104334 34563211380 37123449260 50116656501 55685173890 66822208668 83527760835 100233313002 111370347780 167055521670 200466626004 250583282505 334111043340 501166565010 1002333130020