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211421011300 = 22522983878359
BaseRepresentation
bin1100010011100110101…
…1001001110101100100
3202012201021221011122221
43010321223021311210
511430442234330200
6241043034002124
721163131642022
oct3047153116544
9665637834587
10211421011300
1181732716014
1234b84576344
1316c24533925
14a338c65712
155775e7791a
hex3139ac9d64

211421011300 has 72 divisors (see below), whose sum is σ = 480322382400. Its totient is φ = 80668398720.

The previous prime is 211421011273. The next prime is 211421011349. The reversal of 211421011300 is 3110124112.

211421011300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2114210113002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 198480 + ... + 679879.

It is an arithmetic number, because the mean of its divisors is an integer number (6671144200).

Almost surely, 2211421011300 is an apocalyptic number.

211421011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211421011300 is an abundant number, since it is smaller than the sum of its proper divisors (268901371100).

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

211421011300 is a wasteful number, since it uses less digits than its factorization.

211421011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878485 (or 878478 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211421011300 its reverse (3110124112), we get a palindrome (214531135412).

The spelling of 211421011300 in words is "two hundred eleven billion, four hundred twenty-one million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 83 100 116 145 166 290 332 415 580 725 830 1450 1660 2075 2407 2900 4150 4814 8300 9628 12035 24070 48140 60175 120350 240700 878359 1756718 3513436 4391795 8783590 17567180 21958975 25472411 43917950 50944822 72903797 87835900 101889644 127362055 145807594 254724110 291615188 364518985 509448220 636810275 729037970 1273620550 1458075940 1822594925 2114210113 2547241100 3645189850 4228420226 7290379700 8456840452 10571050565 21142101130 42284202260 52855252825 105710505650 211421011300