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21220111000 = 2353117924419
BaseRepresentation
bin10011110000110100…
…010011001010011000
32000202212101022220001
4103300310103022120
5321424322023000
613425352342344
71350565652554
oct236064231230
960685338801
1021220111000
118aaa221520
1241426a49b4
1320023c0bca
14105436c864
15842e2a46a
hex4f0d13298

21220111000 has 128 divisors (see below), whose sum is σ = 54857088000. Its totient is φ = 7618416000.

The previous prime is 21220110971. The next prime is 21220111027. The reversal of 21220111000 is 11102212.

It is a super-2 number, since 2×212201110002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856791 + ... + 881209.

It is an arithmetic number, because the mean of its divisors is an integer number (428571000).

Almost surely, 221220111000 is an apocalyptic number.

21220111000 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 21220111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27428544000).

21220111000 is an abundant number, since it is smaller than the sum of its proper divisors (33636977000).

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

21220111000 is a wasteful number, since it uses less digits than its factorization.

21220111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24530 (or 24516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21220111000 its reverse (11102212), we get a palindrome (21231213212).

The spelling of 21220111000 in words is "twenty-one billion, two hundred twenty million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 125 158 200 220 250 275 316 395 440 500 550 632 790 869 1000 1100 1375 1580 1738 1975 2200 2750 3160 3476 3950 4345 5500 6952 7900 8690 9875 11000 15800 17380 19750 21725 24419 34760 39500 43450 48838 79000 86900 97676 108625 122095 173800 195352 217250 244190 268609 434500 488380 537218 610475 869000 976760 1074436 1220950 1343045 1929101 2148872 2441900 2686090 3052375 3858202 4883800 5372180 6104750 6715225 7716404 9645505 10744360 12209500 13430450 15432808 19291010 21220111 24419000 26860900 33576125 38582020 42440222 48227525 53721800 67152250 77164040 84880444 96455050 106100555 134304500 169760888 192910100 212201110 241137625 268609000 385820200 424402220 482275250 530502775 848804440 964550500 1061005550 1929101000 2122011100 2652513875 4244022200 5305027750 10610055500 21220111000