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21302330300300 = 22527227291593043
BaseRepresentation
bin1001101011111110101011…
…10101001001011110001100
32210102111001000200110221102
410311333111311021132030
510243004133024102200
6113150053324122232
74326020413643600
oct465772565113614
983374030613842
1021302330300300
1168732a4116345
12248064b396378
13bb6a55101b9a
145390770c1500
1526e1c86656d5
hex135fd5d4978c

21302330300300 has 108 divisors (see below), whose sum is σ = 53792906174280. Its totient is φ = 7300975207680.

The previous prime is 21302330300281. The next prime is 21302330300333. The reversal of 21302330300300 is 300303320312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12575579 + ... + 14168621.

Almost surely, 221302330300300 is an apocalyptic number.

21302330300300 is a gapful number since it is divisible by the number (20) 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 21302330300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26896453087140).

21302330300300 is an abundant number, since it is smaller than the sum of its proper divisors (32490575873980).

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

21302330300300 is a wasteful number, since it uses less digits than its factorization.

21302330300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595800 (or 1595786 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 21302330300300 its reverse (300303320312), we get a palindrome (21602633620612).

The spelling of 21302330300300 in words is "twenty-one trillion, three hundred two billion, three hundred thirty million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 2729 4900 5458 10916 13645 19103 27290 38206 54580 68225 76412 95515 133721 136450 191030 267442 272900 382060 477575 534884 668605 955150 1337210 1593043 1910300 2674420 3186086 3343025 6372172 6686050 7965215 11151301 13372100 15930430 22302602 31860860 39826075 44605204 55756505 78059107 79652150 111513010 156118214 159304300 223026020 278782525 312236428 390295535 557565050 780591070 1115130100 1561182140 1951477675 3902955350 4347414347 7805910700 8694828694 17389657388 21737071735 30431900429 43474143470 60863800858 86948286940 108685358675 121727601716 152159502145 213023303003 217370717350 304319004290 426046606006 434741434700 608638008580 760797510725 852093212012 1065116515015 1521595021450 2130233030030 3043190042900 4260466060060 5325582575075 10651165150150 21302330300300