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210300102240 = 2535438125213
BaseRepresentation
bin1100001111011011011…
…1001110011001100000
3202002211011202002111120
43003312313032121200
511421143311232430
6240335513012240
721123301242414
oct3036667163140
9662734662446
10210300102240
1181207a1a498
12349110b4080
1316aa6241b27
14a270042d44
15570c861610
hex30f6dce660

210300102240 has 48 divisors (see below), whose sum is σ = 662445323568. Its totient is φ = 56080027136.

The previous prime is 210300102191. The next prime is 210300102247. The reversal of 210300102240 is 42201003012.

210300102240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2103001022402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210300102247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219062127 + ... + 219063086.

It is an arithmetic number, because the mean of its divisors is an integer number (13800944241).

Almost surely, 2210300102240 is an apocalyptic number.

210300102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210300102240 is an abundant number, since it is smaller than the sum of its proper divisors (452145221328).

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

210300102240 is a wasteful number, since it uses less digits than its factorization.

210300102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438125231 (or 438125223 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 210300102240 its reverse (42201003012), we get a palindrome (252501105252).

The spelling of 210300102240 in words is "two hundred ten billion, three hundred million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 438125213 876250426 1314375639 1752500852 2190626065 2628751278 3505001704 4381252130 5257502556 6571878195 7010003408 8762504260 10515005112 13143756390 14020006816 17525008520 21030010224 26287512780 35050017040 42060020448 52575025560 70100034080 105150051120 210300102240