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21120022000 = 2453711137143
BaseRepresentation
bin10011101010110110…
…011111010111110000
32000111220001021121001
4103222312133113300
5321223211201000
613411415211344
71345242140110
oct235266372760
960456037531
1021120022000
118a5877a140
124115076b54
131cb7748a4c
141044d57040
1583925946a
hex4ead9f5f0

21120022000 has 160 divisors (see below), whose sum is σ = 63669924864. Its totient is φ = 6582816000.

The previous prime is 21120021991. The next prime is 21120022013. The reversal of 21120022000 is 22002112.

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, 85429 + ... + 222571.

Almost surely, 221120022000 is an apocalyptic number.

21120022000 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 21120022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31834962432).

21120022000 is an abundant number, since it is smaller than the sum of its proper divisors (42549902864).

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

21120022000 is a wasteful number, since it uses less digits than its factorization.

21120022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137184 (or 137168 counting only the distinct ones).

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

Adding to 21120022000 its reverse (22002112), we get a palindrome (21142024112).

The spelling of 21120022000 in words is "twenty-one billion, one hundred twenty million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 137143 154000 274286 548572 685715 960001 1097144 1371430 1508573 1920002 2194288 2742860 3017146 3428575 3840004 4800005 5485720 6034292 6857150 7542865 7680008 9600010 10560011 10971440 12068584 13714300 15085730 15360016 17142875 19200020 21120022 24000025 24137168 27428600 30171460 34285750 37714325 38400040 42240044 48000050 52800055 54857200 60342920 68571500 75428650 76800080 84480088 96000100 105600110 120000125 120685840 137143000 150857300 168960176 188571625 192000200 211200220 240000250 264000275 274286000 301714600 377143250 384000400 422400440 480000500 528000550 603429200 754286500 844800880 960001000 1056001100 1320001375 1508573000 1920002000 2112002200 2640002750 3017146000 4224004400 5280005500 10560011000 21120022000