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21021122111010 = 23572916132139953
BaseRepresentation
bin1001100011110010111001…
…00001000010011000100010
32202102121012010212100022120
410301321130201002120202
510223402224230023020
6112412545320445110
74266504000531330
oct461713441023042
982377163770276
1021021122111010
11677500a45961a
12243604b319796
13b9638b57a0c8
145295dba02b50
15266c1ab1a740
hex131e5c842622

21021122111010 has 128 divisors (see below), whose sum is σ = 59683145863680. Its totient is φ = 4636265926656.

The previous prime is 21021122110997. The next prime is 21021122111027. The reversal of 21021122111010 is 1011122112012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8753194 + ... + 10893146.

It is an arithmetic number, because the mean of its divisors is an integer number (466274577060).

Almost surely, 221021122111010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021122111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29841572931840).

21021122111010 is an abundant number, since it is smaller than the sum of its proper divisors (38662023752670).

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

21021122111010 is a wasteful number, since it uses less digits than its factorization.

21021122111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141612.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21021122111010 its reverse (1011122112012), we get a palindrome (22032244223022).

It can be divided in two parts, 210211 and 22111010, that added together give a triangular number (22321221 = T6681).

The spelling of 21021122111010 in words is "twenty-one trillion, twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 1613 2030 3045 3226 4839 6090 8065 9678 11291 16130 22582 24195 33873 46777 48390 56455 67746 93554 112910 140331 169365 233885 280662 327439 338730 467770 654878 701655 982317 1403310 1637195 1964634 2139953 3274390 4279906 4911585 6419859 9823170 10699765 12839718 14979671 21399530 29959342 32099295 44939013 62058637 64198590 74898355 89878026 124117274 149796710 186175911 224695065 310293185 372351822 434410459 449390130 620586370 868820918 930879555 1303231377 1861759110 2172052295 2606462754 3451744189 4344104590 6516156885 6903488378 10355232567 13032313770 17258720945 20710465134 24162209323 34517441890 48324418646 51776162835 72486627969 100100581481 103552325670 120811046615 144973255938 200201162962 241622093230 300301744443 362433139845 500502907405 600603488886 700704070367 724866279690 1001005814810 1401408140734 1501508722215 2102112211101 3003017444430 3503520351835 4204224422202 7007040703670 10510561055505 21021122111010