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513014141200020 = 2235371419716277203
BaseRepresentation
bin111010010100101010110100…
…1101001101010011010010100
32111021102200011120020120021220
41310221111221221222122110
51014220210430121400040
65015031235401210340
7213026022443103555
oct16451255151523224
92437380146216256
10513014141200020
1113950a091502429
12496556b1a909b0
1319034044c98585
1490980345d232c
153e49a1d7aa2d0
hex1d29569a6a694

513014141200020 has 96 divisors (see below), whose sum is σ = 1475366291430528. Its totient is φ = 133096987924992.

The previous prime is 513014141200009. The next prime is 513014141200021. The reversal of 513014141200020 is 20002141410315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513014141200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23378739 + ... + 39655941.

It is an arithmetic number, because the mean of its divisors is an integer number (15368398869068).

Almost surely, 2513014141200020 is an apocalyptic number.

It is an amenable number.

513014141200020 is an abundant number, since it is smaller than the sum of its proper divisors (962352150230508).

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

513014141200020 is a wasteful number, since it uses less digits than its factorization.

513014141200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16291449 (or 16291447 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 513014141200020 its reverse (20002141410315), we get a palindrome (533016282610335).

The spelling of 513014141200020 in words is "five hundred thirteen trillion, fourteen billion, one hundred forty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 14197 28394 42591 56788 70985 85182 141970 170364 212955 283940 425910 525289 851820 1050578 1575867 2101156 2626445 3151734 5252890 6303468 7879335 10505780 15758670 16277203 31517340 32554406 48831609 65108812 81386015 97663218 162772030 195326436 244158045 325544060 488316090 602256511 976632180 1204513022 1806769533 2409026044 3011282555 3613539066 6022565110 7227078132 9033847665 12045130220 18067695330 36135390660 231087450991 462174901982 693262352973 924349803964 1155437254955 1386524705946 2310874509910 2773049411892 3466311764865 4621749019820 6932623529730 8550235686667 13865247059460 17100471373334 25650707060001 34200942746668 42751178433335 51301414120002 85502356866670 102602828240004 128253535300005 171004713733340 256507070600010 513014141200020