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211220104200 = 23352750290501
BaseRepresentation
bin1100010010110110110…
…0110000010000001000
3202012012021220000221020
43010231230300100020
511430034321313300
6241011055512440
721155142156030
oct3045554602010
9665167800836
10211220104200
118163a273596
1234b29228720
1316bc1a1c7a1
14a31a2c88c0
1557634de8a0
hex312db30408

211220104200 has 96 divisors (see below), whose sum is σ = 748322669760. Its totient is φ = 48278880000.

The previous prime is 211220104171. The next prime is 211220104211. The reversal of 211220104200 is 2401022112.

It is a super-2 number, since 2×2112201042002 (a number of 23 digits) contains 22 as substring.

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 211220104200.

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, 25141051 + ... + 25149450.

It is an arithmetic number, because the mean of its divisors is an integer number (7795027810).

Almost surely, 2211220104200 is an apocalyptic number.

211220104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220104200 is an abundant number, since it is smaller than the sum of its proper divisors (537102565560).

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

211220104200 is a wasteful number, since it uses less digits than its factorization.

211220104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50290527 (or 50290518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211220104200 its reverse (2401022112), we get a palindrome (213621126312).

The spelling of 211220104200 in words is "two hundred eleven billion, two hundred twenty million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 50290501 100581002 150871503 201162004 251452505 301743006 352033507 402324008 502905010 603486012 704067014 754357515 1005810020 1056100521 1206972024 1257262525 1408134028 1508715030 1760167535 2011620040 2112201042 2514525050 2816268056 3017430060 3520335070 3771787575 4224402084 5029050100 5280502605 6034860120 7040670140 7543575150 8448804168 8800837675 10058100200 10561005210 14081340280 15087150300 17601675350 21122010420 26402513025 30174300600 35203350700 42244020840 52805026050 70406701400 105610052100 211220104200