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1002012010110 = 23352327015417
BaseRepresentation
bin11101001010011001001…
…00011110011001111110
310112210100221101010111000
432211030210132121332
5112404110033310420
62044152402511130
7132251535361506
oct16451444363176
93483327333430
101002012010110
11356a50725971
121422439654a6
1373649089677
14366d774aa06
151b0e81ec690
hexe94c91e67e

1002012010110 has 96 divisors (see below), whose sum is σ = 2793258830880. Its totient is φ = 255585635712.

The previous prime is 1002012010093. The next prime is 1002012010121. The reversal of 1002012010110 is 110102102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002012010092 and 1002012010101.

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, 3364879 + ... + 3650538.

It is an arithmetic number, because the mean of its divisors is an integer number (29096446155).

Almost surely, 21002012010110 is an apocalyptic number.

1002012010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002012010110 is an abundant number, since it is smaller than the sum of its proper divisors (1791246820770).

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

1002012010110 is a wasteful number, since it uses less digits than its factorization.

1002012010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015479 (or 7015450 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002012010110 its reverse (110102102001), we get a palindrome (1112114112111).

The spelling of 1002012010110 in words is "one trillion, two billion, twelve million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 529 621 690 1035 1058 1242 1587 2070 2645 3105 3174 4761 5290 6210 7935 9522 14283 15870 23805 28566 47610 71415 142830 7015417 14030834 21046251 35077085 42092502 63138753 70154170 105231255 126277506 161354591 189416259 210462510 315693765 322709182 378832518 484063773 631387530 806772955 947081295 968127546 1452191319 1613545910 1894162590 2420318865 2904382638 3711155593 4356573957 4840637730 7260956595 7422311186 8713147914 11133466779 14521913190 18555777965 21782869785 22266933558 33400400337 37111555930 43565739570 55667333895 66800800674 100201201011 111334667790 167002001685 200402402022 334004003370 501006005055 1002012010110