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211220010122 = 21119109127173211
BaseRepresentation
bin1100010010110110110…
…0011001010010001010
3202012012021201020212212
43010231230121102022
511430034310310442
6241011053505122
721155141314532
oct3045554312212
9665167636785
10211220010122
118163a209940
1234b291a21a2
1316bc19b8a14
14a31a2a24c2
1557634c1a82
hex312db1948a

211220010122 has 128 divisors (see below), whose sum is σ = 373955788800. Its totient is φ = 88473772800.

The previous prime is 211220010121. The next prime is 211220010161. The reversal of 211220010122 is 221010022112.

It is a super-2 number, since 2×2112200101222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220010097 and 211220010106.

It is not an unprimeable number, because it can be changed into a prime (211220010121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1001042597 + ... + 1001042807.

It is an arithmetic number, because the mean of its divisors is an integer number (2921529600).

Almost surely, 2211220010122 is an apocalyptic number.

211220010122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211220010122 is a deficient number, since it is larger than the sum of its proper divisors (162735778678).

211220010122 is a wasteful number, since it uses less digits than its factorization.

211220010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211220010122 its reverse (221010022112), we get a palindrome (432230032234).

The spelling of 211220010122 in words is "two hundred eleven billion, two hundred twenty million, ten thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 109 127 173 209 211 218 254 346 418 422 1199 1397 1903 2071 2321 2398 2413 2794 3287 3806 4009 4142 4642 4826 6574 8018 13843 18857 21971 22781 22999 26543 26797 27686 36157 36503 37714 43942 44099 45562 45998 53086 53594 72314 73006 88198 152273 207427 241681 252989 263017 294767 304546 358283 401533 414854 417449 436981 483362 505978 509143 526034 589534 693557 716566 803066 834898 873962 1018286 1387114 2394839 2893187 2920873 3941113 3978827 4591939 4635881 4789678 4806791 5600573 5786374 5841746 7629127 7882226 7957654 9183878 9271762 9613582 11201146 15258254 26343229 32129603 43767097 45501941 50994691 52686458 55496587 64259206 75597713 87534194 88081739 91003882 101989382 110993174 151195426 176163478 500521351 505311029 610462457 831574843 968899129 1001042702 1010622058 1220924914 1663149686 1937798258 5558421319 9600909551 11116842638 19201819102 105610005061 211220010122