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21465341445100 = 22527193684743801
BaseRepresentation
bin1001110000101110010100…
…00011010100001111101100
32211000001210112220122001211
410320113022003110033230
510303142004402220400
6113353013002444204
74343551112550610
oct470271203241754
984001715818054
1021465341445100
116926444711123
1224a8163503664
13bc9233155997
14542cdc89d340
15273569648dba
hex1385ca0d43ec

21465341445100 has 144 divisors (see below), whose sum is σ = 56038638853120. Its totient is φ = 6971852736000.

The previous prime is 21465341445089. The next prime is 21465341445101. The reversal of 21465341445100 is 154414356412.

It is not an unprimeable number, because it can be changed into a prime (21465341445101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490043200 + ... + 490087000.

Almost surely, 221465341445100 is an apocalyptic number.

21465341445100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21465341445100 is an abundant number, since it is smaller than the sum of its proper divisors (34573297408020).

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

21465341445100 is a wasteful number, since it uses less digits than its factorization.

21465341445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80688 (or 80681 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 21465341445100 in words is "twenty-one trillion, four hundred sixty-five billion, three hundred forty-one million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 36847 43801 73694 87602 147388 175204 184235 219005 257929 306607 368470 438010 515858 613214 700093 736940 832219 876020 921175 1031716 1095025 1226428 1289645 1400186 1533035 1664438 1842350 2190050 2579290 2800372 3066070 3328876 3500465 3684700 4161095 4380100 4900651 5158580 5825533 6132140 6448225 7000930 7665175 8322190 9801302 11651066 12896450 14001860 15330350 16644380 17502325 19602604 20805475 23302132 24503255 25792900 29127665 30660700 35004650 41610950 49006510 58255330 70009300 83221900 98013020 116510660 122516275 145638325 245032550 291276650 490065100 582553300 1613935447 3227870894 6455741788 8069677235 11297548129 16139354470 22595096258 30664773493 32278708940 40348386175 45190192516 56487740645 61329546986 80696772350 112975481290 122659093972 153323867465 161393544700 214653414451 225950962580 282438703225 306647734930 429306828902 564877406450 613295469860 766619337325 858613657804 1073267072255 1129754812900 1533238674650 2146534144510 3066477349300 4293068289020 5366335361275 10732670722550 21465341445100