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211242022134 = 2311131767216157
BaseRepresentation
bin1100010010111100000…
…0010111010011110110
3202012020211010120200120
43010233000113103312
511430110424202014
6241013201352410
721155526363513
oct3045700272366
9665224116616
10211242022134
1181650683890
1234b34638706
1316bc6424b90
14a31d19230a
1557653bdba9
hex312f0174f6

211242022134 has 128 divisors (see below), whose sum is σ = 533388022272. Its totient is φ = 54782576640.

The previous prime is 211242022099. The next prime is 211242022207. The reversal of 211242022134 is 431220242112.

211242022134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112420221342 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 869184 + ... + 1085340.

It is an arithmetic number, because the mean of its divisors is an integer number (4167093924).

Almost surely, 2211242022134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211242022134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266694011136).

211242022134 is an abundant number, since it is smaller than the sum of its proper divisors (322146000138).

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

211242022134 is a wasteful number, since it uses less digits than its factorization.

211242022134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216270.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211242022134 its reverse (431220242112), we get a palindrome (642462264246).

The spelling of 211242022134 in words is "two hundred eleven billion, two hundred forty-two million, twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 67 78 102 134 143 187 201 221 286 374 402 429 442 561 663 737 858 871 1122 1139 1326 1474 1742 2211 2278 2431 2613 3417 4422 4862 5226 6834 7293 9581 12529 14586 14807 19162 25058 28743 29614 37587 44421 57486 75174 88842 162877 216157 325754 432314 488631 648471 977262 1296942 2377727 2810041 3674669 4755454 5620082 7133181 7349338 8430123 11024007 14266362 14482519 16860246 22048014 28965038 30910451 40421359 43447557 47770697 61820902 80842718 86895114 92731353 95541394 121264077 143312091 159307709 185462706 188272747 242528154 246202823 286624182 318615418 376545494 477923127 492405646 525477667 564818241 738608469 955846254 1050955334 1129636482 1477216938 1576433001 2071000217 2708231053 3152866002 3200636699 4142000434 5416462106 6213000651 6401273398 8124693159 9601910097 12426001302 16249386318 19203820194 35207003689 70414007378 105621011067 211242022134