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1010212200011 = 743971032831187
BaseRepresentation
bin11101011001101010101…
…01101101111001001011
310120120112102110221022002
432230311111231321023
5113022403310400021
62052030213221215
7132662000006630
oct16546525557113
93516472427262
101010212200011
1135a4794a5a13
1214395203180b
1374354c22341
1436c74846187
151b42808d50b
hexeb3556de4b

1010212200011 has 64 divisors (see below), whose sum is σ = 1210422140928. Its totient is φ = 825288403968.

The previous prime is 1010212200001. The next prime is 1010212200031. The reversal of 1010212200011 is 1100022120101.

It is a de Polignac number, because none of the positive numbers 2k-1010212200011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010212199965 and 1010212200001.

It is not an unprimeable number, because it can be changed into a prime (1010212200001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851062760 + ... + 851063946.

It is an arithmetic number, because the mean of its divisors is an integer number (18912845952).

Almost surely, 21010212200011 is an apocalyptic number.

1010212200011 is a deficient number, since it is larger than the sum of its proper divisors (200209940917).

1010212200011 is a wasteful number, since it uses less digits than its factorization.

1010212200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010212200011 its reverse (1100022120101), we get a palindrome (2110234320112).

It can be divided in two parts, 101021 and 2200011, that added together give a palindrome (2301032).

The spelling of 1010212200011 in words is "one trillion, ten billion, two hundred twelve million, two hundred thousand, eleven".

Divisors: 1 7 43 97 103 283 301 679 721 1187 1981 4171 4429 8309 9991 12169 27451 29149 29197 31003 51041 69937 85183 115139 122261 192157 204043 335921 357287 429613 805973 855827 1180393 1253407 2351447 2827453 3007291 4950977 5257223 8262751 8773849 11859317 14444603 19792171 32584337 34599863 34656839 36800561 83015219 101112221 121580479 228090359 242199041 509950631 851063353 1401126491 1487794109 3356186711 3569654417 9807885437 10414558763 23493306977 144316028573 1010212200011