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10550331225 = 32527291012287
BaseRepresentation
bin10011101001101100…
…10100011101011001
31000020021022100122100
421310312110131121
5133101341044400
64502522114013
7522306223110
oct116466243531
930207270570
1010550331225
114524429005
12206534b909
13cc1a15655
1472129ac77
1541b369100
hex274d94759

10550331225 has 144 divisors (see below), whose sum is σ = 22572126720. Its totient is φ = 4608576000.

The previous prime is 10550331221. The next prime is 10550331241. The reversal of 10550331225 is 52213305501.

It is a happy number.

10550331225 is a `hidden beast` number, since 105 + 5 + 0 + 331 + 225 = 666.

It is not a de Polignac number, because 10550331225 - 22 = 10550331221 is a prime.

It is a super-2 number, since 2×105503312252 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10550331221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4612032 + ... + 4614318.

It is an arithmetic number, because the mean of its divisors is an integer number (156750880).

Almost surely, 210550331225 is an apocalyptic number.

10550331225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10550331225 is an abundant number, since it is smaller than the sum of its proper divisors (12021795495).

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

10550331225 is a wasteful number, since it uses less digits than its factorization.

10550331225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 10550331225 its reverse (52213305501), we get a palindrome (62763636726).

The spelling of 10550331225 in words is "ten billion, five hundred fifty million, three hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 63 75 87 101 105 145 175 203 225 261 303 315 435 505 525 609 707 725 909 1015 1305 1515 1575 1827 2121 2175 2287 2525 2929 3045 3535 4545 5075 6363 6525 6861 7575 8787 9135 10605 11435 14645 15225 16009 17675 20503 20583 22725 26361 31815 34305 43935 45675 48027 53025 57175 61509 66323 73225 80045 102515 102915 131805 144081 159075 171525 184527 198969 219675 230987 240135 307545 331615 400225 464261 512575 514575 596907 659025 692961 720405 922635 994845 1154935 1200675 1392783 1537725 1616909 1658075 2078883 2321305 2984535 3464805 3602025 4178349 4613175 4850727 4974225 5774675 6698623 6963915 8084545 10394415 11606525 14552181 14922675 17324025 20095869 20891745 24253635 33493115 34819575 40422725 46890361 51972075 60287607 72760905 100479345 104458725 121268175 140671083 167465575 234451805 301438035 363804525 422013249 502396725 703355415 1172259025 1507190175 2110066245 3516777075 10550331225