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1213201600350 = 235228380935327
BaseRepresentation
bin10001101001111000011…
…100110100111101011110
311021222111002211220010120
4101221320130310331132
5124334114102202400
62325200452415410
7153436160311545
oct21517034647536
94258432756116
101213201600350
11428574747903
12177162917566
138a53468424c
1442a0d97115c
1521858bb0ca0
hex11a78734f5e

1213201600350 has 96 divisors (see below), whose sum is σ = 3023189360640. Its totient is φ = 321969642240.

The previous prime is 1213201600327. The next prime is 1213201600397. The reversal of 1213201600350 is 530061023121.

It is a super-2 number, since 2×12132016003502 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1213201600350.

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 47 ways as a sum of consecutive naturals, for example, 34324387 + ... + 34359713.

It is an arithmetic number, because the mean of its divisors is an integer number (31491555840).

Almost surely, 21213201600350 is an apocalyptic number.

1213201600350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213201600350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511594680320).

1213201600350 is an abundant number, since it is smaller than the sum of its proper divisors (1809987760290).

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

1213201600350 is a wasteful number, since it uses less digits than its factorization.

1213201600350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36434 (or 36429 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 1213201600350 its reverse (530061023121), we get a palindrome (1743262623471).

The spelling of 1213201600350 in words is "one trillion, two hundred thirteen billion, two hundred one million, six hundred thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 283 566 809 849 1415 1618 1698 2427 2830 4045 4245 4854 7075 8090 8490 12135 14150 20225 21225 24270 35327 40450 42450 60675 70654 105981 121350 176635 211962 228947 353270 457894 529905 686841 883175 1059810 1144735 1373682 1766350 2289470 2649525 3434205 5299050 5723675 6868410 9997541 11447350 17171025 19995082 28579543 29992623 34342050 49987705 57159086 59985246 85738629 99975410 142897715 149963115 171477258 249938525 285795430 299926230 428693145 499877050 714488575 749815575 857386290 1428977150 1499631150 2143465725 4286931450 8088010669 16176021338 24264032007 40440053345 48528064014 80880106690 121320160035 202200266725 242640320070 404400533450 606600800175 1213201600350