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211431143122120 = 23541128921428733
BaseRepresentation
bin110000000100101110100110…
…001011100010010011001000
31000201121121201220010122000001
4300010232212023202103020
5210203041440114401440
62025402043134252344
762351252553544435
oct6004564613422310
91021547656118001
10211431143122120
1161406498326209
121b8689320570b4
1390c8b4318497c
143a2d47152cb8c
151969c212bdb9a
hexc04ba62e24c8

211431143122120 has 32 divisors (see below), whose sum is σ = 487323000614520. Its totient is φ = 82509714388480.

The previous prime is 211431143122091. The next prime is 211431143122139. The reversal of 211431143122120 is 21221341134112.

It can be written as a sum of positive squares in 4 ways, for example, as 127735249208004 + 83695893914116 = 11302002^2 + 9148546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64460712727 + ... + 64460716006.

Almost surely, 2211431143122120 is an apocalyptic number.

211431143122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431143122120 is an abundant number, since it is smaller than the sum of its proper divisors (275891857492400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211431143122120 is a wasteful number, since it uses less digits than its factorization.

211431143122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128921428785 (or 128921428781 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 211431143122120 its reverse (21221341134112), we get a palindrome (232652484256232).

The spelling of 211431143122120 in words is "two hundred eleven trillion, four hundred thirty-one billion, one hundred forty-three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 128921428733 257842857466 515685714932 644607143665 1031371429864 1289214287330 2578428574660 5156857149320 5285778578053 10571557156106 21143114312212 26428892890265 42286228624424 52857785780530 105715571561060 211431143122120