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211422440112 = 243131990719661
BaseRepresentation
bin1100010011100111000…
…0100110101010110000
3202012201101121202121220
43010321300212222300
511430443121040422
6241043124345040
721163150042452
oct3047160465260
9665641552556
10211422440112
1181733501554
1234b84b45180
1316c24914090
14a3391182d2
15577615ae5c
hex3139c26ab0

211422440112 has 160 divisors (see below), whose sum is σ = 619859493120. Its totient is φ = 61558133760.

The previous prime is 211422440107. The next prime is 211422440123. The reversal of 211422440112 is 211044224112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10743562 + ... + 10763222.

It is an arithmetic number, because the mean of its divisors is an integer number (3874121832).

Almost surely, 2211422440112 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 211422440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309929746560).

211422440112 is an abundant number, since it is smaller than the sum of its proper divisors (408437053008).

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

211422440112 is a wasteful number, since it uses less digits than its factorization.

211422440112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20611 (or 20605 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211422440112 its reverse (211044224112), we get a palindrome (422466664224).

The spelling of 211422440112 in words is "two hundred eleven billion, four hundred twenty-two million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 907 912 988 1482 1814 1976 2721 2964 3628 3952 5442 5928 7256 10884 11791 11856 14512 17233 19661 21768 23582 34466 35373 39322 43536 47164 51699 58983 68932 70746 78644 94328 103398 117966 137864 141492 157288 188656 206796 224029 235932 255593 275728 282984 314576 373559 413592 448058 471864 511186 565968 672087 747118 766779 827184 896116 943728 1022372 1120677 1344174 1494236 1533558 1792232 2044744 2241354 2688348 2988472 3067116 3584464 4089488 4482708 4856267 5376696 5976944 6134232 8965416 9712534 10753392 12268464 14568801 17832527 17930832 19425068 29137602 35665054 38850136 53497581 58275204 71330108 77700272 106995162 116550408 142660216 213990324 231822851 233100816 285320432 338818013 427980648 463645702 677636026 695468553 855961296 927291404 1016454039 1355272052 1390937106 1854582808 2032908078 2710544104 2781874212 3709165616 4065816156 4404634169 5421088208 5563748424 8131632312 8809268338 11127496848 13213902507 16263264624 17618536676 26427805014 35237073352 52855610028 70474146704 105711220056 211422440112