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21181701316 = 2273896171321
BaseRepresentation
bin10011101110100001…
…110001110011000100
32000200012002220201011
4103232201301303010
5321340003420231
613421501212004
71346621330146
oct235641616304
960605086634
1021181701316
118a8a577786
124131861004
131cc7463199
14104d210c96
1583e88e9b1
hex4ee871cc4

21181701316 has 48 divisors (see below), whose sum is σ = 38088353520. Its totient is φ = 10303856640.

The previous prime is 21181701311. The next prime is 21181701337. The reversal of 21181701316 is 61310718112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 712676416 + 20469024900 = 26696^2 + 143070^2 .

It is a super-2 number, since 2×211817013162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21181701311) 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 15 ways as a sum of consecutive naturals, for example, 16033936 + ... + 16035256.

It is an arithmetic number, because the mean of its divisors is an integer number (793507365).

Almost surely, 221181701316 is an apocalyptic number.

It is an amenable number.

21181701316 is a deficient number, since it is larger than the sum of its proper divisors (16906652204).

21181701316 is a wasteful number, since it uses less digits than its factorization.

21181701316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 21181701316 in words is "twenty-one billion, one hundred eighty-one million, seven hundred one thousand, three hundred sixteen".

Divisors: 1 2 4 73 89 146 178 292 356 617 1234 1321 2468 2642 5284 6497 12994 25988 45041 54913 90082 96433 109826 117569 180164 192866 219652 235138 385732 470276 815057 1630114 3260228 4008649 8017298 8582537 16034596 17165074 34330148 59499161 72540073 118998322 145080146 237996644 290160292 5295425329 10590850658 21181701316