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213002414300 = 225213393141681
BaseRepresentation
bin1100011001011111101…
…1101110100011011100
3202100210111121202202102
43012113323232203130
511442212104224200
6241504004544232
721250253435264
oct3062773564334
9670714552672
10213002414300
1182374345545
12353460b2078
1317117057a50
14a448cb87a4
155819c016d5
hex3197eee8dc

213002414300 has 72 divisors (see below), whose sum is σ = 497908829712. Its totient is φ = 78625152000.

The previous prime is 213002414299. The next prime is 213002414323. The reversal of 213002414300 is 3414200312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5089460 + ... + 5131140.

Almost surely, 2213002414300 is an apocalyptic number.

213002414300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002414300 is an abundant number, since it is smaller than the sum of its proper divisors (284906415412).

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

213002414300 is a wasteful number, since it uses less digits than its factorization.

213002414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45639 (or 45632 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213002414300 its reverse (3414200312), we get a palindrome (216416614612).

The spelling of 213002414300 in words is "two hundred thirteen billion, two million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 3931 7862 15724 19655 39310 41681 51103 78620 83362 98275 102206 166724 196550 204412 208405 255515 393100 416810 511030 541853 833620 1022060 1042025 1083706 1277575 2084050 2167412 2555150 2709265 4168100 5110300 5418530 10837060 13546325 27092650 54185300 163848011 327696022 655392044 819240055 1638480110 2130024143 3276960220 4096200275 4260048286 8192400550 8520096572 10650120715 16384801100 21300241430 42600482860 53250603575 106501207150 213002414300