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10221211011 = 3113377431237
BaseRepresentation
bin10011000010011101…
…10100110110000011
3222101100000022120210
421201032310312003
5131413112223021
64410124005203
7511201601004
oct114116646603
928340008523
1010221211011
114375675130
121b93090803
13c6b79016b
146cd6a71ab
153ec506e76
hex2613b4d83

10221211011 has 32 divisors (see below), whose sum is σ = 14943472128. Its totient is φ = 6162992640.

The previous prime is 10221210977. The next prime is 10221211027. The reversal of 10221211011 is 11011212201.

It is not a de Polignac number, because 10221211011 - 29 = 10221210499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221211081) 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, 8262285 + ... + 8263521.

It is an arithmetic number, because the mean of its divisors is an integer number (466983504).

Almost surely, 210221211011 is an apocalyptic number.

10221211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221211011 is a deficient number, since it is larger than the sum of its proper divisors (4722261117).

10221211011 is a wasteful number, since it uses less digits than its factorization.

10221211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331.

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

Adding to 10221211011 its reverse (11011212201), we get a palindrome (21232423212).

It can be divided in two parts, 1022121 and 1011, that multiplied together give a cube (1033364331 = 10113).

The spelling of 10221211011 in words is "ten billion, two hundred twenty-one million, two hundred eleven thousand, eleven".

Divisors: 1 3 11 33 337 743 1011 1237 2229 3707 3711 8173 11121 13607 24519 40821 250391 416869 751173 919091 1250607 2754301 2757273 4585559 8262903 10110001 13756677 30330003 309733667 929201001 3407070337 10221211011