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21142310211 = 321119131239359
BaseRepresentation
bin10011101100001011…
…100000110101000011
32000120102222122021100
4103230023200311003
5321244412411321
613413533025443
71345632446241
oct235413406503
960512878240
1021142310211
118a6a312650
124120625283
131cbc250839
141047cb9791
1583b1ad326
hex4ec2e0d43

21142310211 has 96 divisors (see below), whose sum is σ = 35582976000. Its totient is φ = 11962641600.

The previous prime is 21142310179. The next prime is 21142310237. The reversal of 21142310211 is 11201324112.

21142310211 is a `hidden beast` number, since 2 + 1 + 142 + 310 + 211 = 666.

It is not a de Polignac number, because 21142310211 - 25 = 21142310179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21142310261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58892050 + ... + 58892408.

It is an arithmetic number, because the mean of its divisors is an integer number (370656000).

Almost surely, 221142310211 is an apocalyptic number.

21142310211 is a deficient number, since it is larger than the sum of its proper divisors (14440665789).

21142310211 is a wasteful number, since it uses less digits than its factorization.

21142310211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21142310211 its reverse (11201324112), we get a palindrome (32343634323).

It can be divided in two parts, 2114 and 2310211, that added together give a triangular number (2312325 = T2150).

The spelling of 21142310211 in words is "twenty-one billion, one hundred forty-two million, three hundred ten thousand, two hundred eleven".

Divisors: 1 3 9 11 19 33 57 99 131 171 209 239 359 393 627 717 1077 1179 1441 1881 2151 2489 2629 3231 3949 4323 4541 6821 7467 7887 11847 12969 13623 20463 22401 23661 27379 31309 35541 40869 47029 49951 61389 75031 82137 85801 93927 141087 149853 225093 246411 257403 281781 344399 423261 449559 517319 594871 675279 772209 893551 943811 1033197 1551957 1630219 1784613 2680653 2831433 3099591 4655871 4890657 5353839 6543581 8041959 8494299 9829061 11239931 14671971 17932409 19630743 29487183 33719793 53797227 58892229 88461549 101159379 123639241 161391681 213558689 370917723 640676067 1112753169 1922028201 2349145579 7047436737 21142310211