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211010690881 = 127236172
BaseRepresentation
bin1100010010000100110…
…1111001111101000001
3202011122200211201212101
43010201031321331001
511424122214102011
6240534215230401
721150020164414
oct3044115717501
9664580751771
10211010690881
1181542041231
1234a8b078401
1316b8a51a993
14a2da575b7b
15574ee262c1
hex3121379f41

211010690881 has 9 divisors (see below), whose sum is σ = 212744092899. Its totient is φ = 209291310144.

The previous prime is 211010690879. The next prime is 211010690927. The reversal of 211010690881 is 188096010112.

The square root of 211010690881 is 459359.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1048788225 + 209961902656 = 32385^2 + 458216^2 .

It is not a de Polignac number, because 211010690881 - 21 = 211010690879 is a prime.

It is a super-2 number, since 2×2110106908812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211010690881.

It is not an unprimeable number, because it can be changed into a prime (211010690801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58336785 + ... + 58340401.

Almost surely, 2211010690881 is an apocalyptic number.

211010690881 is the 459359-th square number.

211010690881 is the 229680-th centered octagonal number.

It is an amenable number.

211010690881 is a deficient number, since it is larger than the sum of its proper divisors (1733402018).

211010690881 is an frugal number, since it uses more digits than its factorization.

211010690881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 37.

The spelling of 211010690881 in words is "two hundred eleven billion, ten million, six hundred ninety thousand, eight hundred eighty-one".

Divisors: 1 127 3617 16129 459359 13082689 58338593 1661501503 211010690881