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213003030300 = 223525369119387
BaseRepresentation
bin1100011001011111111…
…0000100111100011100
3202100210112210001202020
43012113332010330130
511442212233432200
6241504030100140
721250261612224
oct3062776047434
9670715701666
10213003030300
1182374726335
123534634a650
1317117212248
14a448dd9084
155819cc3ea0
hex3197f84f1c

213003030300 has 144 divisors (see below), whose sum is σ = 628858000512. Its totient is φ = 55645574400.

The previous prime is 213003030293. The next prime is 213003030319. The reversal of 213003030300 is 3030300312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213003030300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10977207 + ... + 10996593.

It is an arithmetic number, because the mean of its divisors is an integer number (4367069448).

Almost surely, 2213003030300 is an apocalyptic number.

213003030300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213003030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314429000256).

213003030300 is an abundant number, since it is smaller than the sum of its proper divisors (415854970212).

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

213003030300 is a wasteful number, since it uses less digits than its factorization.

213003030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20148 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 213003030300 its reverse (3030300312), we get a palindrome (216033330612).

The spelling of 213003030300 in words is "two hundred thirteen billion, three million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 691 795 1060 1325 1382 1590 2073 2650 2764 3180 3455 3975 4146 5300 6910 7950 8292 10365 13820 15900 17275 19387 20730 34550 36623 38774 41460 51825 58161 69100 73246 77548 96935 103650 109869 116322 146492 183115 193870 207300 219738 232644 290805 366230 387740 439476 484675 549345 581610 732460 915575 969350 1027511 1098690 1163220 1454025 1831150 1938700 2055022 2197380 2746725 2908050 3082533 3662300 4110044 5137555 5493450 5816100 6165066 10275110 10986900 12330132 13396417 15412665 20550220 25687775 26792834 30825330 40189251 51375550 53585668 61650660 66982085 77063325 80378502 102751100 133964170 154126650 160757004 200946255 267928340 308253300 334910425 401892510 669820850 710010101 803785020 1004731275 1339641700 1420020202 2009462550 2130030303 2840040404 3550050505 4018925100 4260060606 7100101010 8520121212 10650151515 14200202020 17750252525 21300303030 35500505050 42600606060 53250757575 71001010100 106501515150 213003030300