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21120020020 = 22511223613619
BaseRepresentation
bin10011101010110110…
…011110111000110100
32000111220001011212201
4103222312132320310
5321223211120040
613411415154244
71345242131251
oct235266367064
960456034781
1021120020020
118a58778700
124115075984
131cb7747b88
141044d56428
15839258a9a
hex4ead9ee34

21120020020 has 144 divisors (see below), whose sum is σ = 51035483520. Its totient is φ = 7322261760.

The previous prime is 21120019961. The next prime is 21120020029. The reversal of 21120020020 is 2002002112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21120019979 and 21120020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120020029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34119271 + ... + 34119889.

It is an arithmetic number, because the mean of its divisors is an integer number (354413080).

Almost surely, 221120020020 is an apocalyptic number.

21120020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25517741760).

21120020020 is an abundant number, since it is smaller than the sum of its proper divisors (29915463500).

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

21120020020 is a wasteful number, since it uses less digits than its factorization.

21120020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21120020020 its reverse (2002002112), we get a palindrome (23122022132).

The spelling of 21120020020 in words is "twenty-one billion, one hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 613 619 1012 1210 1226 1238 1265 2420 2452 2476 2530 2783 3065 3095 5060 5566 6130 6190 6743 6809 11132 12260 12380 13486 13618 13915 14099 14237 26972 27236 27830 28198 28474 33715 34045 55660 56396 56948 67430 68090 70495 71185 74173 74899 134860 136180 140990 142370 148346 149798 155089 156607 281980 284740 296692 299596 310178 313214 370865 374495 379447 620356 626428 741730 748990 758894 775445 783035 1483460 1497980 1517788 1550890 1566070 1705979 1722677 1897235 3101780 3132140 3411958 3445354 3794470 4173917 6823916 6890708 7588940 8347834 8529895 8613385 8727281 16695668 17059790 17226770 17454562 20869585 34119580 34453540 34909124 41739170 43636405 45913087 83478340 87272810 91826174 96000091 174545620 183652348 192000182 229565435 384000364 459130870 480000455 918261740 960000910 1056001001 1920001820 2112002002 4224004004 5280005005 10560010010 21120020020