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21151339225 = 52172292592
BaseRepresentation
bin10011101100101101…
…111101001011011001
32000121001222100202021
4103230231331023121
5321304220323400
613414454334441
71346102263012
oct235455751331
960531870667
1021151339225
118a7441a245
12412365a421
131cc1092453
14104918a009
1583bd9371a
hex4ecb7d2d9

21151339225 has 81 divisors (see below), whose sum is σ = 29352436087. Its totient is φ = 15115932160.

The previous prime is 21151339217. The next prime is 21151339247. The reversal of 21151339225 is 52293315112.

The square root of 21151339225 is 145435.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6891158169 + 14260181056 = 83013^2 + 119416^2 .

It is not a de Polignac number, because 21151339225 - 23 = 21151339217 is a prime.

It is a super-2 number, since 2×211513392252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 358497246 + ... + 358497304.

Almost surely, 221151339225 is an apocalyptic number.

21151339225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21151339225 is the 145435-th square number.

21151339225 is the 72718-th centered octagonal number.

It is an amenable number.

21151339225 is a deficient number, since it is larger than the sum of its proper divisors (8201096862).

21151339225 is an equidigital number, since it uses as much as digits as its factorization.

21151339225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The spelling of 21151339225 in words is "twenty-one billion, one hundred fifty-one million, three hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 17 25 29 59 85 145 289 295 425 493 725 841 1003 1445 1475 1711 2465 3481 4205 5015 7225 8381 8555 12325 14297 17051 17405 21025 25075 29087 41905 42775 49619 59177 71485 85255 87025 100949 145435 209525 243049 248095 295885 357425 426275 494479 504745 727175 843523 1006009 1215245 1240475 1479425 1716133 2472395 2523725 2927521 4217615 5030045 6076225 8580665 12361975 14339891 14637605 21088075 25150225 29174261 42903325 49767857 71699455 73188025 145871305 248839285 358497275 729356525 846053569 1244196425 4230267845 21151339225