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21122000133 = 31331127713681
BaseRepresentation
bin10011101010111110…
…000010010100000101
32000112000202210002020
4103222332002110011
5321224213001013
613411525433353
71345265016213
oct235276022405
960460683066
1021122000133
118a59900363
12411586b859
131cb7c8c240
14104530dcb3
158394ea623
hex4eaf82505

21122000133 has 32 divisors (see below), whose sum is σ = 31334188032. Its totient is φ = 12568089600.

The previous prime is 21122000101. The next prime is 21122000143. The reversal of 21122000133 is 33100022112.

It is not a de Polignac number, because 21122000133 - 25 = 21122000101 is a prime.

It is a super-2 number, since 2×211220001332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122000143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537053 + ... + 1550733.

It is an arithmetic number, because the mean of its divisors is an integer number (979193376).

Almost surely, 221122000133 is an apocalyptic number.

It is an amenable number.

21122000133 is a deficient number, since it is larger than the sum of its proper divisors (10212187899).

21122000133 is a wasteful number, since it uses less digits than its factorization.

21122000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15005.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21122000133 its reverse (33100022112), we get a palindrome (54222022245).

The spelling of 21122000133 in words is "twenty-one billion, one hundred twenty-two million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 13 31 39 93 403 1209 1277 3831 13681 16601 39587 41043 49803 118761 177853 424111 514631 533559 1272333 1543893 5513443 16540329 17470637 52411911 227118281 541589747 681354843 1624769241 7040666711 21122000133