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1302200010020 = 2257132331108457
BaseRepresentation
bin10010111100110001001…
…010110100010100100100
311121111012120001112121202
4102330301022310110210
5132313401200310040
62434120013302032
7163036505311640
oct22746112642444
94544176045552
101302200010020
11462294a59298
12190460194918
1395a48b30510
1447053829c20
1523d17145015
hex12f312b4524

1302200010020 has 96 divisors (see below), whose sum is σ = 3512020474368. Its totient is φ = 394206354432.

The previous prime is 1302200010019. The next prime is 1302200010031. The reversal of 1302200010020 is 200100022031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1302200009983 and 1302200010010.

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, 15512369 + ... + 15596088.

It is an arithmetic number, because the mean of its divisors is an integer number (36583546608).

Almost surely, 21302200010020 is an apocalyptic number.

1302200010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302200010020 is an abundant number, since it is smaller than the sum of its proper divisors (2209820464348).

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

1302200010020 is a wasteful number, since it uses less digits than its factorization.

1302200010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31108509 (or 31108507 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1302200010020 its reverse (200100022031), we get a palindrome (1502300032051).

The spelling of 1302200010020 in words is "one trillion, three hundred two billion, two hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3220 4186 5980 8372 10465 20930 41860 31108457 62216914 124433828 155542285 217759199 311084570 404409941 435518398 622169140 715494511 808819882 871036796 1088795995 1430989022 1617639764 2022049705 2177591990 2830869587 2861978044 3577472555 4044099410 4355183980 5008461577 5661739174 7154945110 8088198820 9301428643 10016923154 11323478348 14154347935 14309890220 18602857286 20033846308 25042307885 28308695870 37205714572 46507143215 50084615770 56617391740 65110000501 93014286430 100169231540 130220001002 186028572860 260440002004 325550002505 651100005010 1302200010020