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211211210112 = 273778575599
BaseRepresentation
bin1100010010110100101…
…0110100110110000000
3202012011200011011112120
43010231022310312000
511430030032210422
6241010141124240
721155003443530
oct3045512646600
9665150134476
10211211210112
1181635249301
1234b26259680
1316bbcc27406
14a3190514c0
15576283445c
hex312d2b4d80

211211210112 has 64 divisors (see below), whose sum is σ = 641176896000. Its totient is φ = 60346059264.

The previous prime is 211211210083. The next prime is 211211210141. The reversal of 211211210112 is 211012112112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211211210083) and next prime (211211210141).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2112112101122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211210091 and 211211210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39285112 + ... + 39290487.

It is an arithmetic number, because the mean of its divisors is an integer number (10018389000).

Almost surely, 2211211210112 is an apocalyptic number.

It is an amenable number.

211211210112 is an abundant number, since it is smaller than the sum of its proper divisors (429965685888).

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

211211210112 is an equidigital number, since it uses as much as digits as its factorization.

211211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78575623 (or 78575611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211211210112 its reverse (211012112112), we get a palindrome (422223322224).

The spelling of 211211210112 in words is "two hundred eleven billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 78575599 157151198 235726797 314302396 471453594 550029193 628604792 942907188 1100058386 1257209584 1650087579 1885814376 2200116772 2514419168 3300175158 3771628752 4400233544 5028838336 6600350316 7543257504 8800467088 10057676672 13200700632 15086515008 17600934176 26401401264 30173030016 35201868352 52802802528 70403736704 105605605056 211211210112