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21112033131 = 337310122571
BaseRepresentation
bin10011101010011000…
…000000111101101011
32000111100000101221000
4103222120000331223
5321214140030011
613410532050043
71345114215000
oct235230007553
960440011830
1021112033131
118a54212a72
124112463923
131cb5bac6c7
141043c778a7
158386cc356
hex4ea600f6b

21112033131 has 64 divisors (see below), whose sum is σ = 36837504000. Its totient is φ = 11944044000.

The previous prime is 21112033079. The next prime is 21112033133. The reversal of 21112033131 is 13133021112.

21112033131 is a `hidden beast` number, since 211 + 120 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 21112033131 - 213 = 21112024939 is a prime.

It is a super-2 number, since 2×211120331312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21112033133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924076 + ... + 946646.

It is an arithmetic number, because the mean of its divisors is an integer number (575586000).

Almost surely, 221112033131 is an apocalyptic number.

21112033131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21112033131 is a deficient number, since it is larger than the sum of its proper divisors (15725470869).

21112033131 is a wasteful number, since it uses less digits than its factorization.

21112033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702 (or 22682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21112033131 its reverse (13133021112), we get a palindrome (34245054243).

The spelling of 21112033131 in words is "twenty-one billion, one hundred twelve million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 101 147 189 303 343 441 707 909 1029 1323 2121 2727 3087 4949 6363 9261 14847 19089 22571 34643 44541 67713 103929 133623 157997 203139 311787 473991 609417 935361 1105979 1421973 2279671 3317937 4265919 6839013 7741853 9953811 15957697 20517039 23225559 29861433 47873091 61551117 69676677 111703879 143619273 209030031 335111637 430857819 781927153 1005334911 2345781459 3016004733 7037344377 21112033131