Search a number
-
+
122211122121010 = 25131724359174623
BaseRepresentation
bin11011110010011001111110…
…100001011000100100110010
3121000201021021020010212011201
4123302121332201120210302
5112004301334230333020
61111531003041401414
734512314351126056
oct3362317641304462
9530637236125151
10122211122121010
1135a3849a44433a
121185940163926a
1353265c82c4cb0
14222709abbdc66
15e1ded221aa0a
hex6f267e858932

122211122121010 has 96 divisors (see below), whose sum is σ = 251665819840512. Its totient is φ = 42468204026880.

The previous prime is 122211122120987. The next prime is 122211122121029. The reversal of 122211122121010 is 10121221112221.

It is a happy number.

It is a super-2 number, since 2×1222111221210102 (a number of 29 digits) contains 22 as substring.

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, 1637676559 + ... + 1637751181.

It is an arithmetic number, because the mean of its divisors is an integer number (2621518956672).

Almost surely, 2122211122121010 is an apocalyptic number.

122211122121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122211122121010 is an abundant number, since it is smaller than the sum of its proper divisors (129454697719502).

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

122211122121010 is a wasteful number, since it uses less digits than its factorization.

122211122121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118268 (or 118251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122211122121010 its reverse (10121221112221), we get a palindrome (132332343233231).

The spelling of 122211122121010 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 289 442 578 1105 1445 2210 2890 3757 7514 18785 37570 43591 74623 87182 149246 217955 373115 435910 566683 741047 746230 970099 1133366 1268591 1482094 1940198 2537182 2833415 3705235 4850495 5666830 6342955 7410470 9633611 9700990 12597799 12685910 16491683 19267222 21566047 25195598 32983366 43132094 48168055 62988995 82458415 96336110 107830235 125977990 163771387 164916830 215660470 280358611 327542774 560717222 818856935 1401793055 1637713870 2803586110 3252891193 6505782386 16264455965 32528911930 42287585509 55299150281 84575171018 110598300562 211437927545 276495751405 422875855090 552991502810 718888953653 940085554777 1437777907306 1880171109554 3594444768265 4700427773885 7188889536530 9400855547770 12221112212101 24442224424202 61105561060505 122211122121010