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21000101010111 = 33131131918672411
BaseRepresentation
bin1001100011001011101111…
…00011111001101010111111
32202100120221010221202222000
410301211313203321222333
510223031201324310421
6112355151353353343
74265131036241016
oct461456743715277
982316833852860
1021000101010111
116767102604363
122431b63408853
13b943bb487a72
145285a5c79a7d
152663da401226
hex1319778f9abf

21000101010111 has 64 divisors (see below), whose sum is σ = 31402341273600. Its totient is φ = 13869472687200.

The previous prime is 21000101010107. The next prime is 21000101010173. The reversal of 21000101010111 is 11101010100012.

It is not a de Polignac number, because 21000101010111 - 22 = 21000101010107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21000101010093 and 21000101010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000101018111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8710119496 + ... + 8710121906.

It is an arithmetic number, because the mean of its divisors is an integer number (490661582400).

Almost surely, 221000101010111 is an apocalyptic number.

21000101010111 is a deficient number, since it is larger than the sum of its proper divisors (10402240263489).

21000101010111 is a wasteful number, since it uses less digits than its factorization.

21000101010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 21000101010111 its reverse (11101010100012), we get a palindrome (32101111110123).

The spelling of 21000101010111 in words is "twenty-one trillion, one hundred one million, ten thousand, one hundred eleven".

Divisors: 1 3 9 27 131 393 1179 1319 1867 2411 3537 3957 5601 7233 11871 16803 21699 35613 50409 65097 172789 244577 315841 518367 733731 947523 1555101 2201193 2462573 2842569 3180109 4501337 4665303 6603579 7387719 8527707 9540327 13504011 22163157 28620981 40512033 66489471 85862943 121536099 322597063 416594279 589675147 967791189 1249782837 1769025441 2903373567 3749348511 5307076323 5937263503 8710120701 11248045533 15921228969 17811790509 53435371527 160306114581 777781518893 2333344556679 7000033670037 21000101010111