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1002313133430 = 235722453327793
BaseRepresentation
bin11101001010111101000…
…01001010110101110110
310112211010220222210000120
432211132201022311312
5112410214130232210
62044242320552410
7132262153030200
oct16453641126566
93484126883016
101002313133430
113570956a7314
12142308782706
137369658b84b
1436725733770
151b11487e270
hexe95e84ad76

1002313133430 has 96 divisors (see below), whose sum is σ = 2798509375584. Its totient is φ = 229082563584.

The previous prime is 1002313133429. The next prime is 1002313133453. The reversal of 1002313133430 is 343313132001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002313133430.

It is a congruent number.

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, 36049614 + ... + 36077406.

It is an arithmetic number, because the mean of its divisors is an integer number (29151139329).

Almost surely, 21002313133430 is an apocalyptic number.

1002313133430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002313133430 is an abundant number, since it is smaller than the sum of its proper divisors (1796196242154).

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

1002313133430 is a wasteful number, since it uses less digits than its factorization.

1002313133430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52350 (or 52343 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1002313133430 its reverse (343313132001), we get a palindrome (1345626265431).

The spelling of 1002313133430 in words is "one trillion, two billion, three hundred thirteen million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 24533 27793 49066 55586 73599 83379 122665 138965 147198 166758 171731 194551 245330 277930 343462 367995 389102 416895 515193 583653 735990 833790 858655 972755 1030386 1167306 1202117 1361857 1717310 1945510 2404234 2575965 2723714 2918265 3606351 4085571 5151930 5836530 6010585 6809285 7212702 8171142 12021170 13618570 18031755 20427855 36063510 40855710 681845669 1363691338 2045537007 3409228345 4091074014 4772919683 6818456690 9545839366 10227685035 14318759049 20455370070 23864598415 28637518098 33410437781 47729196830 66820875562 71593795245 100231313343 143187590490 167052188905 200462626686 334104377810 501156566715 1002313133430