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1002234242010 = 235414367282827
BaseRepresentation
bin11101001010110011101…
…00001110001111011010
310112210221102112200100010
432211121310032033122
5112410033431221020
62044230422022350
7132260204332101
oct16453164161732
93483842480303
101002234242010
11357055112aa1
121422a62779b6
1373683128c31
1436719079038
151b10c998de0
hexe959d0e3da

1002234242010 has 128 divisors (see below), whose sum is σ = 2558973441024. Its totient is φ = 250877975040.

The previous prime is 1002234241999. The next prime is 1002234242029. The reversal of 1002234242010 is 102424322001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3402217 + ... + 3685043.

It is an arithmetic number, because the mean of its divisors is an integer number (19991980008).

Almost surely, 21002234242010 is an apocalyptic number.

1002234242010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002234242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279486720512).

1002234242010 is an abundant number, since it is smaller than the sum of its proper divisors (1556739199014).

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

1002234242010 is a wasteful number, since it uses less digits than its factorization.

1002234242010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282988.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1002234242010 its reverse (102424322001), we get a palindrome (1104658564011).

The spelling of 1002234242010 in words is "one trillion, two billion, two hundred thirty-four million, two hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 43 67 82 86 123 129 134 201 205 215 246 258 335 402 410 430 615 645 670 1005 1230 1290 1763 2010 2747 2881 3526 5289 5494 5762 8241 8643 8815 10578 13735 14405 16482 17286 17630 26445 27470 28810 41205 43215 52890 82410 86430 118121 236242 282827 354363 565654 590605 708726 848481 1181210 1414135 1696962 1771815 2828270 3543630 4242405 8484810 11595907 12161561 18949409 23191814 24323122 34787721 36484683 37898818 56848227 57979535 60807805 69575442 72969366 94747045 113696454 115959070 121615610 173938605 182423415 189494090 284241135 347877210 364846830 498624001 568482270 776925769 814824587 997248002 1495872003 1553851538 1629649174 2330777307 2444473761 2493120005 2991744006 3884628845 4074122935 4661554614 4888947522 4986240010 7479360015 7769257690 8148245870 11653886535 12222368805 14958720030 23307773070 24444737610 33407808067 66815616134 100223424201 167039040335 200446848402 334078080670 501117121005 1002234242010