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21128000220 = 22325579120269
BaseRepresentation
bin10011101011010100…
…111011001011011100
32000112110001121122200
4103223110323023130
5321232232001340
613412302211500
71345400016165
oct235324731334
960473047580
1021128000220
118a62229308
124117883b90
131cb92b02a2
14104603276c
15839cd3330
hex4eb53b2dc

21128000220 has 72 divisors (see below), whose sum is σ = 64102496640. Its totient is φ = 5632882560.

The previous prime is 21128000219. The next prime is 21128000227. The reversal of 21128000220 is 2200082112.

It is a happy number.

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 = 21128000193 and 21128000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21128000227) 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, 1032246 + ... + 1052514.

Almost surely, 221128000220 is an apocalyptic number.

21128000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21128000220 is an abundant number, since it is smaller than the sum of its proper divisors (42974496420).

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

21128000220 is a wasteful number, since it uses less digits than its factorization.

21128000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26075 (or 26070 counting only the distinct ones).

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

Adding to 21128000220 its reverse (2200082112), we get a palindrome (23328082332).

The spelling of 21128000220 in words is "twenty-one billion, one hundred twenty-eight million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5791 11582 17373 20269 23164 28955 34746 40538 52119 57910 60807 69492 81076 86865 101345 104238 115820 121614 173730 182421 202690 208476 243228 260595 304035 347460 364842 405380 521190 608070 729684 912105 1042380 1216140 1824210 3648420 117377779 234755558 352133337 469511116 586888895 704266674 1056400011 1173777790 1408533348 1760666685 2112800022 2347555580 3521333370 4225600044 5282000055 7042666740 10564000110 21128000220