Search a number
-
+
30202303201020 = 2233582767630219
BaseRepresentation
bin1101101111000000001011…
…00011011011111011111100
310221221022102102212011211000
412313200011203123323330
512424313304104413040
6144122425130530300
76235021141256046
oct667400543337374
9127838372764730
1030202303201020
1196947a786a275
1234794aa296990
1313b10ac984562
14765b292d0a96
15375970553130
hex1b78058dbefc

30202303201020 has 96 divisors (see below), whose sum is σ = 94076341228800. Its totient is φ = 8044208649792.

The previous prime is 30202303201009. The next prime is 30202303201039. The reversal of 30202303201020 is 2010230320203.

It is a happy number.

30202303201020 is a `hidden beast` number, since 302 + 0 + 2 + 30 + 320 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30202303200984 and 30202303201002.

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, 33368530 + ... + 34261689.

It is an arithmetic number, because the mean of its divisors is an integer number (979961887800).

Almost surely, 230202303201020 is an apocalyptic number.

30202303201020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30202303201020 is an abundant number, since it is smaller than the sum of its proper divisors (63874038027780).

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

30202303201020 is a wasteful number, since it uses less digits than its factorization.

30202303201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67631064 (or 67631056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30202303201020 its reverse (2010230320203), we get a palindrome (32212533521223).

The spelling of 30202303201020 in words is "thirty trillion, two hundred two billion, three hundred three million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 827 1654 2481 3308 4135 4962 7443 8270 9924 12405 14886 16540 22329 24810 29772 37215 44658 49620 74430 89316 111645 148860 223290 446580 67630219 135260438 202890657 270520876 338151095 405781314 608671971 676302190 811562628 1014453285 1217343942 1352604380 1826015913 2028906570 2434687884 3043359855 3652031826 4057813140 6086719710 7304063652 9130079565 12173439420 18260159130 36520318260 55930191113 111860382226 167790573339 223720764452 279650955565 335581146678 503371720017 559301911130 671162293356 838952866695 1006743440034 1118603822260 1510115160051 1677905733390 2013486880068 2516858600085 3020230320102 3355811466780 5033717200170 6040460640204 7550575800255 10067434400340 15101151600510 30202303201020