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20134111221 = 3372118712821
BaseRepresentation
bin10010110000000101…
…100010011111110101
31220222011212211021000
4102300011202133311
5312213313024341
613125515513513
71311641056500
oct226005423765
956864784230
1020134111221
1185a21a9844
123a9aa58899
131b8b4027a3
14d90036137
157cc90c8b6
hex4b01627f5

20134111221 has 48 divisors (see below), whose sum is σ = 34730182080. Its totient is φ = 11494617120.

The previous prime is 20134111189. The next prime is 20134111237. The reversal of 20134111221 is 12211143102.

20134111221 is a `hidden beast` number, since 20 + 13 + 411 + 1 + 221 = 666.

It is not a de Polignac number, because 20134111221 - 25 = 20134111189 is a prime.

It is a super-2 number, since 2×201341112212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20134111194 and 20134111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134111421) 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 47 ways as a sum of consecutive naturals, for example, 1563991 + ... + 1576811.

It is an arithmetic number, because the mean of its divisors is an integer number (723545460).

Almost surely, 220134111221 is an apocalyptic number.

20134111221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20134111221 is a deficient number, since it is larger than the sum of its proper divisors (14596070859).

20134111221 is a wasteful number, since it uses less digits than its factorization.

20134111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20134111221 its reverse (12211143102), we get a palindrome (32345254323).

The spelling of 20134111221 in words is "twenty billion, one hundred thirty-four million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1187 1323 3561 8309 10683 12821 24927 32049 38463 58163 74781 89747 115389 174489 224343 269241 346167 523467 628229 807723 1570401 1884687 2423169 5654061 15218527 16962183 45655581 106529689 136966743 319589067 410900229 745707823 958767201 2237123469 2876301603 6711370407 20134111221