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21014241012 = 22321637095051
BaseRepresentation
bin10011100100100010…
…111101111011110100
32000020112000001100200
4103210202331323310
5321014121203022
613353120040500
71342516046532
oct234442757364
960215001320
1021014241012
118a03a9a336
1240a5763130
131c9b85cb4b
141034c9d152
1582ed11bac
hex4e48bdef4

21014241012 has 72 divisors (see below), whose sum is σ = 53531194080. Its totient is φ = 6950577600.

The previous prime is 21014241007. The next prime is 21014241013.

21014241012 is a `hidden beast` number, since 210 + 1 + 42 + 410 + 1 + 2 = 666.

21014241012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21014241013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4157887 + ... + 4162937.

Almost surely, 221014241012 is an apocalyptic number.

It is an amenable number.

21014241012 is an abundant number, since it is smaller than the sum of its proper divisors (32516953068).

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

21014241012 is a wasteful number, since it uses less digits than its factorization.

21014241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 21014241012 in words is "twenty-one billion, fourteen million, two hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 709 978 1418 1467 1956 2127 2836 2934 4254 5051 5868 6381 8508 10102 12762 15153 20204 25524 30306 45459 60612 90918 115567 181836 231134 346701 462268 693402 823313 1040103 1386804 1646626 2080206 2469939 3293252 3581159 4160412 4939878 7162318 7409817 9879756 10743477 14324636 14819634 21486954 29639268 32230431 42973908 64460862 128921724 583728917 1167457834 1751186751 2334915668 3502373502 5253560253 7004747004 10507120506 21014241012