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21302112200320 = 27572679276537
BaseRepresentation
bin1001101011111110010001…
…10101001010011010000000
32210102110110211021212000101
410311333020311022122000
510243003211210402240
6113150015533332144
74326012125062600
oct465771065123200
983373424255011
1021302112200320
1168731a1aa0626
1224805aa337054
13bb6a1bb7b243
1453905614ac00
1526e1b443339a
hex135fc8d4a680

21302112200320 has 96 divisors (see below), whose sum is σ = 59239706878980. Its totient is φ = 7303581315072.

The previous prime is 21302112200311. The next prime is 21302112200329. The reversal of 21302112200320 is 2300221120312.

It is an interprime number because it is at equal distance from previous prime (21302112200311) and next prime (21302112200329).

It can be written as a sum of positive squares in 2 ways, for example, as 21162134453824 + 139977746496 = 4600232^2 + 374136^2 .

It is not an unprimeable number, because it can be changed into a prime (21302112200329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339606909 + ... + 339669628.

Almost surely, 221302112200320 is an apocalyptic number.

21302112200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302112200320 is an abundant number, since it is smaller than the sum of its proper divisors (37937594678660).

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

21302112200320 is an equidigital number, since it uses as much as digits as its factorization.

21302112200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679276570 (or 679276551 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21302112200320 its reverse (2300221120312), we get a palindrome (23602333320632).

The spelling of 21302112200320 in words is "twenty-one trillion, three hundred two billion, one hundred twelve million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 679276537 1358553074 2717106148 3396382685 4754935759 5434212296 6792765370 9509871518 10868424592 13585530740 19019743036 21736849184 23774678795 27171061480 33284550313 38039486072 43473698368 47549357590 54342122960 66569100626 76078972144 86947396736 95098715180 108684245920 133138201252 152157944288 166422751565 190197430360 217368491840 266276402504 304315888576 332845503130 380394860720 434736983680 532552805008 608631777152 665691006260 760789721440 1065105610016 1331382012520 1521579442880 2130211220032 2662764025040 3043158885760 4260422440064 5325528050080 10651056100160 21302112200320