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211112012221121 = 112917322431705481
BaseRepresentation
bin110000000000000101011000…
…011111110000101011000001
31000200111010000010001010201002
4300000011120133300223001
5210132324400112033441
62024555304115421345
762316224315623364
oct6000053037605301
91020433003033632
10211112012221121
11612a3113246930
121b816b098b4855
1390a4a14a459cb
143a1bc396da0db
151961794319b9b
hexc001587f0ac1

211112012221121 has 32 divisors (see below), whose sum is σ = 239729644725120. Its totient is φ = 184148725465600.

The previous prime is 211112012221109. The next prime is 211112012221133. The reversal of 211112012221121 is 121122210211112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211112012221109) and next prime (211112012221133).

It is a cyclic number.

It is not a de Polignac number, because 211112012221121 - 242 = 206713965710017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112012221093 and 211112012221102.

It is not an unprimeable number, because it can be changed into a prime (211112012251121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122931701 + ... + 124637181.

It is an arithmetic number, because the mean of its divisors is an integer number (7491551397660).

Almost surely, 2211112012221121 is an apocalyptic number.

It is an amenable number.

211112012221121 is a deficient number, since it is larger than the sum of its proper divisors (28617632503999).

211112012221121 is a wasteful number, since it uses less digits than its factorization.

211112012221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707937.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211112012221121 its reverse (121122210211112), we get a palindrome (332234222432233).

The spelling of 211112012221121 in words is "two hundred eleven trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 29 173 319 1903 2243 5017 24673 55187 65047 388039 715517 1705481 4268429 11253131 18760291 49458949 123784441 295048213 544048439 3245530343 3825393883 8556398177 42079332713 94120379947 110936422607 661793141759 1220300648677 7279724559349 19192001111011 211112012221121