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1002301233020 = 225177939079551
BaseRepresentation
bin11101001010111011100…
…11110001011101111100
310112211010002121011201122
432211131303301131330
5112410203103424040
62044241213530112
7132261646624133
oct16453563613574
93484102534648
101002301233020
11357089a0936a
121423047a3938
1373693c82c99
1436723d1691a
151b1137cd1b5
hexe95dcf177c

1002301233020 has 96 divisors (see below), whose sum is σ = 2257670983680. Its totient is φ = 372426163200.

The previous prime is 1002301232963. The next prime is 1002301233061. The reversal of 1002301233020 is 203321032001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1002301233020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104937245 + ... + 104946795.

It is an arithmetic number, because the mean of its divisors is an integer number (23517406080).

Almost surely, 21002301233020 is an apocalyptic number.

1002301233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002301233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128835491840).

1002301233020 is an abundant number, since it is smaller than the sum of its proper divisors (1255369750660).

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

1002301233020 is a wasteful number, since it uses less digits than its factorization.

1002301233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1002301233020 its reverse (203321032001), we get a palindrome (1205622265021).

It can be divided in two parts, 1002301 and 233020, that added together give a palindrome (1235321).

The spelling of 1002301233020 in words is "one trillion, two billion, three hundred one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 790 1343 1580 2686 3907 5372 6715 7814 9551 13430 15628 19102 19535 26860 38204 39070 47755 66419 78140 95510 132838 162367 191020 265676 308653 324734 332095 617306 649468 664190 754529 811835 1234612 1328380 1509058 1543265 1623670 3018116 3086530 3247340 3772645 5247101 6173060 7545290 10494202 12826993 15090580 20988404 25653986 26235505 37315757 51307972 52471010 64134965 74631514 104942020 128269930 149263028 186578785 256539860 373157570 634367869 746315140 1268735738 2537471476 2947944803 3171839345 5895889606 6343678690 11791779212 12687357380 14739724015 29479448030 50115061651 58958896060 100230123302 200460246604 250575308255 501150616510 1002301233020