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212211112101100 = 22527397763624009
BaseRepresentation
bin110000010000000100111111…
…111101000100010011101100
31000211101011222021101001220021
4300100010333331010103230
5210303331324144213400
62031200234500331524
762461514120512330
oct6020047775042354
91024334867331807
10212211112101100
11616872554a3382
121b973b280a3ba4
1391545641b4a88
143a591034157c0
151980170c6871a
hexc1013ff444ec

212211112101100 has 72 divisors (see below), whose sum is σ = 527609209981280. Its totient is φ = 72574825720320.

The previous prime is 212211112101091. The next prime is 212211112101101. The reversal of 212211112101100 is 1101211112212.

It is not an unprimeable number, because it can be changed into a prime (212211112101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381534105 + ... + 382089904.

Almost surely, 2212211112101100 is an apocalyptic number.

212211112101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211112101100 is an abundant number, since it is smaller than the sum of its proper divisors (315398097880180).

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

212211112101100 is a wasteful number, since it uses less digits than its factorization.

212211112101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763624427 (or 763624420 counting only the distinct ones).

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

Adding to 212211112101100 its reverse (1101211112212), we get a palindrome (213312323213312).

The spelling of 212211112101100 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 397 700 794 1588 1985 2779 3970 5558 7940 9925 11116 13895 19850 27790 39700 55580 69475 138950 277900 763624009 1527248018 3054496036 3818120045 5345368063 7636240090 10690736126 15272480180 19090600225 21381472252 26726840315 38181200450 53453680630 76362400900 106907361260 133634201575 267268403150 303158731573 534536806300 606317463146 1212634926292 1515793657865 2122111121011 3031587315730 4244222242022 6063174631460 7578968289325 8488444484044 10610555605055 15157936578650 21221111210110 30315873157300 42442222420220 53052778025275 106105556050550 212211112101100