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431130441153325 = 521923372113255097
BaseRepresentation
bin110001000000111000110000…
…0110010111111101100101101
32002112111200000201102110022211
41202001301200302333230231
5423002120120413401300
64124534331311210421
7156545101145520334
oct14201614062775455
92075450021373284
10431130441153325
1111540a4365357a1
124042bb74516a11
131567457034a414
147866b78d40d1b
1534c9a5b0c44ba
hex1881c60cbfb2d

431130441153325 has 144 divisors (see below), whose sum is σ = 608848069979520. Its totient is φ = 301405433978880.

The previous prime is 431130441153311. The next prime is 431130441153329. The reversal of 431130441153325 is 523351144031134.

It is not a de Polignac number, because 431130441153325 - 213 = 431130441145133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431130441153329) 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, 1689937177 + ... + 1690192273.

It is an arithmetic number, because the mean of its divisors is an integer number (4228111597080).

Almost surely, 2431130441153325 is an apocalyptic number.

It is an amenable number.

431130441153325 is a deficient number, since it is larger than the sum of its proper divisors (177717628826195).

431130441153325 is a wasteful number, since it uses less digits than its factorization.

431130441153325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255336 (or 255294 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 431130441153325 its reverse (523351144031134), we get a palindrome (954481585184459).

The spelling of 431130441153325 in words is "four hundred thirty-one trillion, one hundred thirty billion, four hundred forty-one million, one hundred fifty-three thousand, three hundred twenty-five".

Divisors: 1 5 19 23 25 37 95 113 115 185 437 475 565 575 703 851 925 1369 2147 2185 2599 2825 3515 4181 4255 6845 10735 10925 12995 16169 17575 20905 21275 26011 31487 34225 49381 53675 64975 79439 80845 96163 104525 130055 154697 157435 246905 255097 397195 404225 480815 598253 650275 773485 787175 1234525 1275485 1827097 1985975 2404075 2939243 2991265 3558031 3867425 4846843 5867231 6377425 9135485 9438589 14696215 14956325 17790155 24234215 28825961 29336155 45677425 47192945 67602589 73481075 88950775 111477389 121171075 144129805 146680775 179333191 217087547 235964725 338012945 349227793 547693259 557386945 662997103 720649025 896665955 1066560557 1085437735 1690064725 1746138965 2738466295 2786934725 3314985515 4124663393 4483329775 5332802785 5427188675 6635328067 8032239239 8730694825 12596944957 13692331475 16574927575 20264650583 20623316965 24530892811 26664013925 33176640335 39462740609 40161196195 62984724785 101323252915 103116584825 122654464055 152612545541 165883201675 197313703045 200805980975 314923623925 466086963409 506616264575 613272320275 749792071571 763062727705 907643034007 986568515225 2330434817045 3748960357855 3815313638525 4538215170035 11652174085225 17245217646133 18744801789275 22691075850175 86226088230665 431130441153325