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21122110000 = 24541925851
BaseRepresentation
bin10011101010111110…
…011101001000110000
32000112000222100210101
4103222332131020300
5321224230010000
613411532042144
71345265654425
oct235276351060
960460870711
1021122110000
118a59975962
124115903354
131cb7cca254
14104533bd4c
1583951ce6a
hex4eaf9d230

21122110000 has 150 divisors (see below), whose sum is σ = 53981136132. Its totient is φ = 8002800000.

The previous prime is 21122109959. The next prime is 21122110001. The reversal of 21122110000 is 1122112.

It is a super-3 number, since 3×211221100003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (21122110001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3607075 + ... + 3612925.

Almost surely, 221122110000 is an apocalyptic number.

21122110000 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 21122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26990568066).

21122110000 is an abundant number, since it is smaller than the sum of its proper divisors (32859026132).

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

21122110000 is an equidigital number, since it uses as much as digits as its factorization.

21122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5877 counting only the distinct ones).

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

Adding to 21122110000 its reverse (1122112), we get a palindrome (21123232112).

It can be divided in two parts, 2112 and 2110000, that added together give a palindrome (2112112).

The spelling of 21122110000 in words is "twenty-one billion, one hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 361 380 400 475 500 625 722 760 950 1000 1250 1444 1520 1805 1900 2000 2375 2500 2888 3610 3800 4750 5000 5776 5851 7220 7600 9025 9500 10000 11702 11875 14440 18050 19000 23404 23750 28880 29255 36100 38000 45125 46808 47500 58510 72200 90250 93616 95000 111169 117020 144400 146275 180500 190000 222338 225625 234040 292550 361000 444676 451250 468080 555845 585100 722000 731375 889352 902500 1111690 1170200 1462750 1778704 1805000 2112211 2223380 2340400 2779225 2925500 3610000 3656875 4224422 4446760 5558450 5851000 7313750 8448844 8893520 10561055 11116900 11702000 13896125 14627500 16897688 21122110 22233800 27792250 29255000 33795376 42244220 44467600 52805275 55584500 58510000 69480625 84488440 105610550 111169000 138961250 168976880 211221100 222338000 264026375 277922500 422442200 528052750 555845000 844884400 1056105500 1111690000 1320131875 2112211000 2640263750 4224422000 5280527500 10561055000 21122110000