Search a number
-
+
12021101012010 = 2351074019338881
BaseRepresentation
bin1010111011101110000101…
…1101001010010000101010
31120120012120012100120120210
42232323201131022100222
53033423203324341020
641322230110001550
72350332042445656
oct256734135122052
946505505316523
1012021101012010
11391513614a502
12142192a4a62b6
1369277b2109cc
142d7b781c7a66
1515ca6a6723e0
hexaeee174a42a

12021101012010 has 64 divisors (see below), whose sum is σ = 29192896865664. Its totient is φ = 3167748096000.

The previous prime is 12021101012009. The next prime is 12021101012017. The reversal of 12021101012010 is 1021010112021.

12021101012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12021101012017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3382231 + ... + 5956650.

It is an arithmetic number, because the mean of its divisors is an integer number (456139013526).

Almost surely, 212021101012010 is an apocalyptic number.

12021101012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12021101012010 is an abundant number, since it is smaller than the sum of its proper divisors (17171795853654).

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

12021101012010 is a wasteful number, since it uses less digits than its factorization.

12021101012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339399.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12021101012010 its reverse (1021010112021), we get a palindrome (13042111124031).

The spelling of 12021101012010 in words is "twelve trillion, twenty-one billion, one hundred one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 107 214 321 401 535 642 802 1070 1203 1605 2005 2406 3210 4010 6015 12030 42907 85814 128721 214535 257442 429070 643605 1287210 9338881 18677762 28016643 46694405 56033286 93388810 140083215 280166430 999260267 1998520534 2997780801 3744891281 4996301335 5995561602 7489782562 9992602670 11234673843 14988904005 18724456405 22469347686 29977808010 37448912810 56173369215 112346738430 400703367067 801406734134 1202110101201 2003516835335 2404220202402 4007033670670 6010550506005 12021101012010