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1002301232020 = 2251117330785781
BaseRepresentation
bin11101001010111011100…
…11110001001110010100
310112211010002121010100121
432211131303301032110
5112410203103411040
62044241213521324
7132261646621204
oct16453563611624
93484102533317
101002301232020
11357089a08640
121423047a3244
1373693c826aa
1436723d16404
151b1137ccc4a
hexe95dcf1394

1002301232020 has 96 divisors (see below), whose sum is σ = 2317003387776. Its totient is φ = 361181836800.

The previous prime is 1002301231891. The next prime is 1002301232047. The reversal of 1002301232020 is 202321032001.

It is a junction number, because it is equal to n+sod(n) for n = 1002301231985 and 1002301232003.

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, 11641530 + ... + 11727310.

It is an arithmetic number, because the mean of its divisors is an integer number (24135451956).

Almost surely, 21002301232020 is an apocalyptic number.

1002301232020 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 1002301232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158501693888).

1002301232020 is an abundant number, since it is smaller than the sum of its proper divisors (1314702155756).

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

1002301232020 is a wasteful number, since it uses less digits than its factorization.

1002301232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86281 (or 86279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1002301232020 its reverse (202321032001), we get a palindrome (1204622264021).

It can be divided in two parts, 1002301 and 232020, that added together give a palindrome (1234321).

The spelling of 1002301232020 in words is "one trillion, two billion, three hundred one million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 307 346 614 692 865 1228 1535 1730 1903 3070 3377 3460 3806 6140 6754 7612 9515 13508 16885 19030 33770 38060 53111 67540 85781 106222 171562 212444 265555 343124 428905 531110 584221 857810 943591 1062220 1168442 1715620 1887182 2336884 2921105 3774364 4717955 5842210 9435910 11684420 14840113 18871820 26334767 29680226 52669534 59360452 74200565 105339068 131673835 148401130 163241243 263347670 289682437 296802260 326482486 526695340 579364874 652964972 816206215 1158729748 1448412185 1632412430 2896824370 3264824860 4555914691 5793648740 9111829382 18223658764 22779573455 45559146910 50115061601 91118293820 100230123202 200460246404 250575308005 501150616010 1002301232020