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513203363420 = 2251143101537127
BaseRepresentation
bin1110111011111010100…
…11011101111001011100
31211001200000200001212112
413131331103131321130
531402020030112140
61031432401053152
752035441420266
oct7357523357134
91731600601775
10513203363420
11188714a128a0
12835669271b8
13395196b3957
141aba69a8b36
15d539d55c65
hex777d4dde5c

513203363420 has 96 divisors (see below), whose sum is σ = 1214957753856. Its totient is φ = 180474336000.

The previous prime is 513203363419. The next prime is 513203363423. The reversal of 513203363420 is 24363302315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513203363423) 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, 686897 + ... + 1224023.

It is an arithmetic number, because the mean of its divisors is an integer number (12655809936).

Almost surely, 2513203363420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513203363420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607478876928).

513203363420 is an abundant number, since it is smaller than the sum of its proper divisors (701754390436).

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

513203363420 is a wasteful number, since it uses less digits than its factorization.

513203363420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537291 (or 537289 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 513203363420 its reverse (24363302315), we get a palindrome (537566665735).

The spelling of 513203363420 in words is "five hundred thirteen billion, two hundred three million, three hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 101 110 172 202 215 220 404 430 473 505 860 946 1010 1111 1892 2020 2222 2365 4343 4444 4730 5555 8686 9460 11110 17372 21715 22220 43430 47773 86860 95546 191092 238865 477730 537127 955460 1074254 2148508 2685635 5371270 5908397 10742540 11816794 23096461 23633588 29541985 46192922 54249827 59083970 92385844 108499654 115482305 118167940 216999308 230964610 254061071 271249135 461929220 508122142 542498270 596748097 1016244284 1084996540 1193496194 1270305355 2332742561 2386992388 2540610710 2983740485 4665485122 5081221420 5967480970 9330970244 11663712805 11934961940 23327425610 25660168171 46654851220 51320336342 102640672684 128300840855 256601681710 513203363420