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315427363202013 = 3171931173197308107
BaseRepresentation
bin100011110111000010010011…
…1111011111010001111011101
31112100211120011021120000121220
41013232010213323322033131
5312320430214434431023
63034505155154243553
7123303606052154646
oct10756044773721735
91470746137500556
10315427363202013
1191560aa2398037
122b463b298865b9
1310700898c6c80a
1457c6aa16586cd
15266eec9c973e3
hex11ee127efa3dd

315427363202013 has 128 divisors (see below), whose sum is σ = 489136288481280. Its totient is φ = 179485104476160.

The previous prime is 315427363201999. The next prime is 315427363202057. The reversal of 315427363202013 is 310202363724513.

It is a happy number.

It is not a de Polignac number, because 315427363202013 - 25 = 315427363201981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315427363202093) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1023605106 + ... + 1023913212.

It is an arithmetic number, because the mean of its divisors is an integer number (3821377253760).

Almost surely, 2315427363202013 is an apocalyptic number.

It is an amenable number.

315427363202013 is a deficient number, since it is larger than the sum of its proper divisors (173708925279267).

315427363202013 is a wasteful number, since it uses less digits than its factorization.

315427363202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308547.

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 315427363202013 in words is "three hundred fifteen trillion, four hundred twenty-seven billion, three hundred sixty-three million, two hundred two thousand, thirteen".

Divisors: 1 3 17 19 31 51 57 93 173 197 323 519 527 589 591 969 1581 1767 2941 3287 3349 3743 5363 6107 8823 9861 10013 10047 11229 16089 18321 30039 34081 55879 63631 91171 101897 102243 103819 116033 167637 190893 273513 305691 308107 311457 348099 579377 647539 924321 1056511 1732249 1738131 1942617 1972561 3169533 5196747 5237819 5854033 5917683 9551317 11008163 15713457 17562099 17960687 20073709 28653951 33024489 53302511 53882061 60221127 60697079 99518561 159907533 162372389 181475023 182091237 298555683 341253053 487117167 544425069 906142687 1012747709 1023759159 1031850343 1153244501 1652377841 1881609449 2718428061 3038243127 3085075391 3095551029 3459733503 4957133523 5644828347 9255226173 10500594667 17216711053 19605156517 28090423297 31395178979 31501784001 31987360633 35750579531 51650133159 58815469551 84271269891 94185536937 95962081899 107251738593 178510109339 199511298673 325518434677 533718042643 535530328017 598533896019 607759852027 976555304031 1601154127929 1823279556081 3391692077441 5533813389509 6184850258863 10175076232323 16601440168527 18554550776589 105142454400671 315427363202013