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212113311200 = 25527172228081
BaseRepresentation
bin1100010110001011110…
…0000100010111100000
3202021111112121122120222
43011202330010113200
511433402001424300
6241235444222212
721216236253050
oct3054274042740
9667445548528
10212113311200
1181a5848619a
123513839a968
1317004aa823b
14a3a2b97560
1557b6b28785
hex3162f045e0

212113311200 has 144 divisors (see below), whose sum is σ = 626607957024. Its totient is φ = 68446617600.

The previous prime is 212113311169. The next prime is 212113311227. The reversal of 212113311200 is 2113311212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018841 + ... + 1209240.

It is an arithmetic number, because the mean of its divisors is an integer number (4351444146).

Almost surely, 2212113311200 is an apocalyptic number.

212113311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212113311200 is an abundant number, since it is smaller than the sum of its proper divisors (414494645824).

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

212113311200 is a wasteful number, since it uses less digits than its factorization.

212113311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228125 (or 2228112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212113311200 its reverse (2113311212), we get a palindrome (214226622412).

The spelling of 212113311200 in words is "two hundred twelve billion, one hundred thirteen million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1120 1190 1360 1400 1700 1904 2380 2720 2800 2975 3400 3808 4760 5600 5950 6800 9520 11900 13600 19040 23800 47600 95200 2228081 4456162 8912324 11140405 15596567 17824648 22280810 31193134 35649296 37877377 44561620 55702025 62386268 71298592 75754754 77982835 89123240 111404050 124772536 151509508 155965670 178246480 189386885 222808100 249545072 265141639 303019016 311931340 356492960 378773770 389914175 445616200 499090144 530283278 606038032 623862680 757547540 779828350 891232400 946934425 1060566556 1212076064 1247725360 1325708195 1515095080 1559656700 1782464800 1893868850 2121133112 2495450720 2651416390 3030190160 3119313400 3787737700 4242266224 5302832780 6060380320 6238626800 6628540975 7575475400 8484532448 10605665560 12477253600 13257081950 15150950800 21211331120 26514163900 30301901600 42422662240 53028327800 106056655600 212113311200