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63141162312020 = 225131129215102413
BaseRepresentation
bin11100101101101001100101…
…00011001110000101010100
322021120020101011110020111212
432112310302203032011110
531234001100022441040
6342142352144120552
716204540602151562
oct1626646243160524
9267506334406455
1063141162312020
1119134020047171
1270b921b606158
1329302559ca470
14118409737aa32
157476a70abd65
hex396d328ce154

63141162312020 has 48 divisors (see below), whose sum is σ = 142922647958160. Its totient is φ = 23293009990656.

The previous prime is 63141162312017. The next prime is 63141162312023. The reversal of 63141162312020 is 2021326114136.

It is an interprime number because it is at equal distance from previous prime (63141162312017) and next prime (63141162312023).

It can be written as a sum of positive squares in 8 ways, for example, as 5889028199824 + 57252134112196 = 2426732^2 + 7566514^2 .

It is a super-2 number, since 2×631411623120202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63141162312023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107257667 + ... + 107844746.

It is an arithmetic number, because the mean of its divisors is an integer number (2977555165795).

Almost surely, 263141162312020 is an apocalyptic number.

It is an amenable number.

63141162312020 is an abundant number, since it is smaller than the sum of its proper divisors (79781485646140).

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

63141162312020 is a wasteful number, since it uses less digits than its factorization.

63141162312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215103564 (or 215103562 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 63141162312020 its reverse (2021326114136), we get a palindrome (65162488426156).

The spelling of 63141162312020 in words is "sixty-three trillion, one hundred forty-one billion, one hundred sixty-two million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1129 2258 4516 5645 11290 14677 22580 29354 58708 73385 146770 293540 215102413 430204826 860409652 1075512065 2151024130 2796331369 4302048260 5592662738 11185325476 13981656845 27963313690 55926627380 242850624277 485701248554 971402497108 1214253121385 2428506242770 3157058115601 4857012485540 6314116231202 12628232462404 15785290578005 31570581156010 63141162312020