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21114421020 = 223257111523407
BaseRepresentation
bin10011101010100001…
…000111111100011100
32000111111111201111100
4103222201013330130
5321220242433040
613411055153100
71345143421530
oct235241077434
960444451440
1021114421020
118a555a4030
124113215790
131cb6537564
1410442d9bc0
158389eeb30
hex4ea847f1c

21114421020 has 144 divisors (see below), whose sum is σ = 79850953728. Its totient is φ = 4387409280.

The previous prime is 21114420991. The next prime is 21114421049. The reversal of 21114421020 is 2012441112.

21114421020 is a `hidden beast` number, since 211 + 1 + 442 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21114420991) and next prime (21114421049).

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

It is a junction number, because it is equal to n+sod(n) for n = 21114420984 and 21114421002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747844 + ... + 775563.

It is an arithmetic number, because the mean of its divisors is an integer number (554520512).

Almost surely, 221114421020 is an apocalyptic number.

21114421020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114421020 is an abundant number, since it is smaller than the sum of its proper divisors (58736532708).

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

21114421020 is a wasteful number, since it uses less digits than its factorization.

21114421020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523440 (or 1523435 counting only the distinct ones).

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

Adding to 21114421020 its reverse (2012441112), we get a palindrome (23126862132).

The spelling of 21114421020 in words is "twenty-one billion, one hundred fourteen million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 1523407 3046814 4570221 6093628 7617035 9140442 10663849 13710663 15234070 16757477 18280884 21327698 22851105 27421326 30468140 31991547 33514954 42655396 45702210 50272431 53319245 54842652 63983094 67029908 68553315 83787385 91404420 95974641 100544862 106638490 117302339 127966188 137106630 150817293 159957735 167574770 191949282 201089724 213276980 234604678 251362155 274213260 301634586 319915470 335149540 351907017 383898564 469209356 479873205 502724310 586511695 603269172 639830940 703814034 754086465 959746410 1005448620 1055721051 1173023390 1407628068 1508172930 1759535085 1919492820 2111442102 2346046780 3016345860 3519070170 4222884204 5278605255 7038140340 10557210510 21114421020