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213032230400 = 2952111513013
BaseRepresentation
bin1100011001100110110…
…1011101111000000000
3202100212120201120202102
43012121231131320000
511442242222333100
6241510552005532
721251065036553
oct3063155357000
9670776646672
10213032230400
118238a15a850
12353540908a8
1317120297102
14a44cc3a69a
15581c640cd5
hex3199b5de00

213032230400 has 120 divisors (see below), whose sum is σ = 575786555784. Its totient is φ = 77466214400.

The previous prime is 213032230357. The next prime is 213032230421. The reversal of 213032230400 is 4032230312.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615707 + ... + 897306.

Almost surely, 2213032230400 is an apocalyptic number.

213032230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213032230400 is an abundant number, since it is smaller than the sum of its proper divisors (362754325384).

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

213032230400 is a wasteful number, since it uses less digits than its factorization.

213032230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513052 (or 1513031 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213032230400 its reverse (4032230312), we get a palindrome (217064460712).

The spelling of 213032230400 in words is "two hundred thirteen billion, thirty-two million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2560 2816 3200 3520 4400 5632 6400 7040 8800 12800 14080 17600 28160 35200 70400 140800 1513013 3026026 6052052 7565065 12104104 15130130 16643143 24208208 30260260 33286286 37825325 48416416 60520520 66572572 75650650 83215715 96832832 121041040 133145144 151301300 166431430 193665664 242082080 266290288 302602600 332862860 387331328 416078575 484164160 532580576 605205200 665725720 774662656 832157150 968328320 1065161152 1210410400 1331451440 1664314300 1936656640 2130322304 2420820800 2662902880 3328628600 3873313280 4260644608 4841641600 5325805760 6657257200 8521289216 9683283200 10651611520 13314514400 19366566400 21303223040 26629028800 42606446080 53258057600 106516115200 213032230400