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21110021010 = 2335137382387
BaseRepresentation
bin10011101010010000…
…010101101110010010
32000111012020011211000
4103222100111232102
5321213131133020
613410421002430
71345061134521
oct235220255622
960435204730
1021110021010
118a53069261
124111853416
131cb56568c0
1410438b24b8
15838431090
hex4ea415b92

21110021010 has 128 divisors (see below), whose sum is σ = 61454856960. Its totient is φ = 5125068288.

The previous prime is 21110020979. The next prime is 21110021017. The reversal of 21110021010 is 1012001112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21110020983 and 21110021001.

It is not an unprimeable number, because it can be changed into a prime (21110021017) 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, 215037 + ... + 297423.

It is an arithmetic number, because the mean of its divisors is an integer number (480116070).

Almost surely, 221110021010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30727428480).

21110021010 is an abundant number, since it is smaller than the sum of its proper divisors (40344835950).

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

21110021010 is a wasteful number, since it uses less digits than its factorization.

21110021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82489 (or 82483 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21110021010 its reverse (1012001112), we get a palindrome (22122022122).

The spelling of 21110021010 in words is "twenty-one billion, one hundred ten million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 73 78 90 117 130 135 146 195 219 234 270 351 365 390 438 585 657 702 730 949 1095 1170 1314 1755 1898 1971 2190 2847 3285 3510 3942 4745 5694 6570 8541 9490 9855 14235 17082 19710 25623 28470 42705 51246 82387 85410 128115 164774 247161 256230 411935 494322 741483 823870 1071031 1235805 1482966 2142062 2224449 2471610 3213093 3707415 4448898 5355155 6014251 6426186 7414830 9639279 10710310 11122245 12028502 16065465 18042753 19278558 22244490 28917837 30071255 32130930 36085506 48196395 54128259 57835674 60142510 78185263 90213765 96392790 108256518 144589185 156370526 162384777 180427530 234555789 270641295 289178370 324769554 390926315 469111578 541282590 703667367 781852630 811923885 1172778945 1407334734 1623847770 2111002101 2345557890 3518336835 4222004202 7036673670 10555010505 21110021010