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211214253554041 = 19200312553442121
BaseRepresentation
bin110000000001100100100110…
…100011011111100101111001
31000200211212220111010222201011
4300001210212203133211321
5210141013242402212131
62025114253310153521
762326504046620243
oct6001444643374571
91020755814128634
10211214253554041
1161332509872591
121b8328a21b28a1
1390b15599c923a
143a22b782b7093
15196427a1d80b1
hexc019268df979

211214253554041 has 16 divisors (see below), whose sum is σ = 222460015487040. Its totient is φ = 199981430288640.

The previous prime is 211214253554021. The next prime is 211214253554069. The reversal of 211214253554041 is 140455352412112.

It is a cyclic number.

It is not a de Polignac number, because 211214253554041 - 25 = 211214253554009 is a prime.

It is a super-2 number, since 2×2112142535540412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211214253553985 and 211214253554003.

It is not an unprimeable number, because it can be changed into a prime (211214253554021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477508461 + ... + 477950581.

It is an arithmetic number, because the mean of its divisors is an integer number (13903750967940).

Almost surely, 2211214253554041 is an apocalyptic number.

It is an amenable number.

211214253554041 is a deficient number, since it is larger than the sum of its proper divisors (11245761932999).

211214253554041 is a wasteful number, since it uses less digits than its factorization.

211214253554041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456696.

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 211214253554041 in words is "two hundred eleven trillion, two hundred fourteen billion, two hundred fifty-three million, five hundred fifty-four thousand, forty-one".

Divisors: 1 19 2003 12553 38057 238507 442121 8400299 25143659 477729521 885568363 5549944913 16825798897 105448953347 11116539660739 211214253554041