Search a number
-
+
12210011013100 = 2252713354751263
BaseRepresentation
bin1011000110101101110101…
…0111100111111111101100
31121020021011122211221112211
42301223131113213333230
53100022100304404400
641545111314540204
72400100312120435
oct261533527477754
947207148757484
1012210011013100
1139882669a234a
12145246bb97664
136a7525a83c44
14302d7948c48c
151629251cadba
hexb1add5e7fec

12210011013100 has 72 divisors (see below), whose sum is σ = 26870228195328. Its totient is φ = 4814978145600.

The previous prime is 12210011013091. The next prime is 12210011013157. The reversal of 12210011013100 is 131011001221.

It is a happy number.

It is a super-2 number, since 2×122100110131002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238158069 + ... + 238209331.

It is an arithmetic number, because the mean of its divisors is an integer number (373197613824).

Almost surely, 212210011013100 is an apocalyptic number.

12210011013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210011013100 is an abundant number, since it is smaller than the sum of its proper divisors (14660217182228).

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

12210011013100 is a wasteful number, since it uses less digits than its factorization.

12210011013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84895 (or 84888 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12210011013100 its reverse (131011001221), we get a palindrome (12341022014321).

The spelling of 12210011013100 in words is "twelve trillion, two hundred ten billion, eleven million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 33547 51263 67094 102526 134188 167735 205052 256315 335470 512630 670940 838675 1025260 1281575 1677350 2381837 2563150 3354700 3639673 4763674 5126300 7279346 9527348 11909185 14558692 18198365 23818370 36396730 47636740 59545925 72793460 90991825 119091850 181983650 238183700 363967300 1719719861 3439439722 6878879444 8598599305 17197198610 34394397220 42992996525 85985993050 122100110131 171971986100 244200220262 488400440524 610500550655 1221001101310 2442002202620 3052502753275 6105005506550 12210011013100