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211113430151120 = 2457973886476991
BaseRepresentation
bin110000000000000110101101…
…000000101110111111010000
31000200111020122221010102222222
4300000012231000232333100
5210132340301104313440
62025000100530520212
762316304414054160
oct6000065500567720
91020436587112888
10211113430151120
11612a3780671702
121b817244736068
1390a4bac731643
143a1bd31b585a0
151961828a522b5
hexc001ad02efd0

211113430151120 has 80 divisors (see below), whose sum is σ = 566741620881408. Its totient is φ = 71635543879680.

The previous prime is 211113430151101. The next prime is 211113430151167. The reversal of 211113430151120 is 21151034311112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 211113430151120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1943184176 + ... + 1943292815.

Almost surely, 2211113430151120 is an apocalyptic number.

211113430151120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211113430151120 is an abundant number, since it is smaller than the sum of its proper divisors (355628190730288).

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

211113430151120 is a wasteful number, since it uses less digits than its factorization.

211113430151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886477108 (or 3886477102 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

Adding to 211113430151120 its reverse (21151034311112), we get a palindrome (232264464462232).

The spelling of 211113430151120 in words is "two hundred eleven trillion, one hundred thirteen billion, four hundred thirty million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1940 2716 3395 3880 5432 6790 7760 10864 13580 27160 54320 3886476991 7772953982 15545907964 19432384955 27205338937 31091815928 38864769910 54410677874 62183631856 77729539820 108821355748 136026694685 155459079640 217642711496 272053389370 310918159280 376988268127 435285422992 544106778740 753976536254 1088213557480 1507953072508 1884941340635 2176427114960 2638917876889 3015906145016 3769882681270 5277835753778 6031812290032 7539765362540 10555671507556 13194589384445 15079530725080 21111343015112 26389178768890 30159061450160 42222686030224 52778357537780 105556715075560 211113430151120