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211203122112 = 2634157259499
BaseRepresentation
bin1100010010110010101…
…1111110001111000000
3202012011002221020220000
43010230223332033000
511430020444401422
6241005251520000
721154544626413
oct3045453761700
9665132836800
10211203122112
1181630724704
1234b235b9000
1316bbb354c08
14a317d47b7a
155761c87cac
hex312cafe3c0

211203122112 has 140 divisors (see below), whose sum is σ = 630062367000. Its totient is φ = 69952356864.

The previous prime is 211203122077. The next prime is 211203122153. The reversal of 211203122112 is 211221302112.

211203122112 is a `hidden beast` number, since 21 + 120 + 312 + 211 + 2 = 666.

211203122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 684139 + ... + 943637.

Almost surely, 2211203122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211203122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315031183500).

211203122112 is an abundant number, since it is smaller than the sum of its proper divisors (418859244888).

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

211203122112 is a wasteful number, since it uses less digits than its factorization.

211203122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259680 (or 259661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211203122112 its reverse (211221302112), we get a palindrome (422424424224).

The spelling of 211203122112 in words is "two hundred eleven billion, two hundred three million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 157 162 192 216 288 314 324 432 471 576 628 648 864 942 1256 1296 1413 1728 1884 2512 2592 2826 3768 4239 5024 5184 5652 7536 8478 10048 11304 12717 15072 16956 22608 25434 30144 33912 45216 50868 67824 90432 101736 135648 203472 259499 271296 406944 518998 778497 813888 1037996 1556994 2075992 2335491 3113988 4151984 4670982 6227976 7006473 8303968 9341964 12455952 14012946 16607936 18683928 21019419 24911904 28025892 37367856 40741343 42038838 49823808 56051784 74735712 81482686 84077676 112103568 122224029 149471424 162965372 168155352 224207136 244448058 325930744 336310704 366672087 448414272 488896116 651861488 672621408 733344174 977792232 1100016261 1303722976 1345242816 1466688348 1955584464 2200032522 2607445952 2933376696 3300048783 3911168928 4400065044 5866753392 6600097566 7822337856 8800130088 11733506784 13200195132 17600260176 23467013568 26400390264 35200520352 52800780528 70401040704 105601561056 211203122112