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211211211442 = 27112419533191
BaseRepresentation
bin1100010010110100101…
…0110101001010110010
3202012011200011020100211
43010231022311022302
511430030032231232
6241010141134334
721155003450440
oct3045512651262
9665150136324
10211211211442
118163524a300
1234b2625a3aa
1316bbcc27bba
14a319051b90
155762834a47
hex312d2b52b2

211211211442 has 96 divisors (see below), whose sum is σ = 408247402752. Its totient is φ = 80173632000.

The previous prime is 211211211383. The next prime is 211211211457. The reversal of 211211211442 is 244112112112.

It is a super-2 number, since 2×2112112114422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66188067 + ... + 66191257.

It is an arithmetic number, because the mean of its divisors is an integer number (4252577112).

Almost surely, 2211211211442 is an apocalyptic number.

211211211442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211211211442 is a deficient number, since it is larger than the sum of its proper divisors (197036191310).

211211211442 is a wasteful number, since it uses less digits than its factorization.

211211211442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4205 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Adding to 211211211442 its reverse (244112112112), we get a palindrome (455323323554).

The spelling of 211211211442 in words is "two hundred eleven billion, two hundred eleven million, two hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 7 11 14 22 41 77 82 121 154 242 287 451 574 847 902 953 1694 1906 3157 3191 4961 6314 6382 6671 9922 10483 13342 20966 22337 34727 35101 39073 44674 69454 70202 73381 78146 115313 130831 146762 230626 245707 261662 273511 386111 429803 491414 547022 772222 807191 859606 915817 1439141 1614382 1831634 2702777 2878282 3008621 3041023 4727833 5405554 6017242 6082046 9455666 10073987 15830551 20147974 21287161 31661102 33094831 33451253 42574322 66189662 66902506 110813857 124681943 221627714 234158771 249363886 367963783 468317542 735927566 872773601 1371501373 1745547202 2575746481 2743002746 5151492962 9600509611 15086515103 19201019222 30173030206 105605605721 211211211442