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212211302000 = 24531011795869
BaseRepresentation
bin1100010110100011000…
…1110111111001110000
3202021202101000002200212
43011220301313321300
511434102043131000
6241253304403252
721221536206365
oct3055061677160
9667671002625
10212211302000
1181aa8825125
1235165176528
131701c197369
14a3b1bc446c
1557c0532c35
hex3168c77e70

212211302000 has 160 divisors (see below), whose sum is σ = 521191195200. Its totient is φ = 83560320000.

The previous prime is 212211301997. The next prime is 212211302021. The reversal of 212211302000 is 203112212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36155066 + ... + 36160934.

It is an arithmetic number, because the mean of its divisors is an integer number (3257444970).

Almost surely, 2212211302000 is an apocalyptic number.

212211302000 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 212211302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260595597600).

212211302000 is an abundant number, since it is smaller than the sum of its proper divisors (308979893200).

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

212211302000 is a wasteful number, since it uses less digits than its factorization.

212211302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212211302000 its reverse (203112212), we get a palindrome (212414414212).

The spelling of 212211302000 in words is "two hundred twelve billion, two hundred eleven million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 179 200 202 250 358 400 404 500 505 716 808 895 1000 1010 1432 1616 1790 2000 2020 2525 2864 3580 4040 4475 5050 5869 7160 8080 8950 10100 11738 12625 14320 17900 18079 20200 22375 23476 25250 29345 35800 36158 40400 44750 46952 50500 58690 71600 72316 89500 90395 93904 101000 117380 144632 146725 179000 180790 202000 234760 289264 293450 358000 361580 451975 469520 586900 592769 723160 733625 903950 1050551 1173800 1185538 1446320 1467250 1807900 2101102 2259875 2347600 2371076 2934500 2963845 3615800 4202204 4519750 4742152 5252755 5869000 5927690 7231600 8404408 9039500 9484304 10505510 11738000 11855380 14819225 16808816 18079000 21011020 23710760 26263775 29638450 36158000 42022040 47421520 52527550 59276900 74096125 84044080 105055100 106105651 118553800 131318875 148192250 210110200 212211302 237107600 262637750 296384500 420220400 424422604 525275500 530528255 592769000 848845208 1050551000 1061056510 1185538000 1697690416 2101102000 2122113020 2652641275 4244226040 5305282550 8488452080 10610565100 13263206375 21221130200 26526412750 42442260400 53052825500 106105651000 212211302000