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21033111100 = 22526113126321
BaseRepresentation
bin10011100101101010…
…111100111000111100
32000021211111202020211
4103211222330320330
5321033434023400
613355032322204
71343135331421
oct234552747074
960254452224
1021033111100
118a13708751
1240abb43364
131ca2738b91
1410375b1d48
158317dcdba
hex4e5abce3c

21033111100 has 72 divisors (see below), whose sum is σ = 46745976816. Its totient is φ = 8211840000.

The previous prime is 21033111083. The next prime is 21033111107. The reversal of 21033111100 is 111133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21033111107) 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, 785940 + ... + 812260.

It is an arithmetic number, because the mean of its divisors is an integer number (649249678).

Almost surely, 221033111100 is an apocalyptic number.

21033111100 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 21033111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372988408).

21033111100 is an abundant number, since it is smaller than the sum of its proper divisors (25712865716).

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

21033111100 is a wasteful number, since it uses less digits than its factorization.

21033111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26527 (or 26520 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 21033111100 its reverse (111133012), we get a palindrome (21144244112).

The spelling of 21033111100 in words is "twenty-one billion, thirty-three million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 131 244 262 305 524 610 655 1220 1310 1525 2620 3050 3275 6100 6550 7991 13100 15982 26321 31964 39955 52642 79910 105284 131605 159820 199775 263210 399550 526420 658025 799100 1316050 1605581 2632100 3211162 3448051 6422324 6896102 8027905 13792204 16055810 17240255 32111620 34480510 40139525 68961020 80279050 86201275 160558100 172402550 210331111 344805100 420662222 841324444 1051655555 2103311110 4206622220 5258277775 10516555550 21033111100