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211120010100 = 223252939124979
BaseRepresentation
bin1100010010011110111…
…0111011001101110100
3202011221022112201122100
43010213232323031310
511424333210310400
6240553122302100
721152515322346
oct3044756731564
9664838481570
10211120010100
118159881839a
1234abb7b7930
1316ba70751cc
14a30acb1296
15575981c100
hex3127bbb374

211120010100 has 108 divisors (see below), whose sum is σ = 661840903360. Its totient is φ = 56290420800.

The previous prime is 211120010083. The next prime is 211120010107. The reversal of 211120010100 is 1010021112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120010107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8439411 + ... + 8464389.

Almost surely, 2211120010100 is an apocalyptic number.

211120010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120010100 is an abundant number, since it is smaller than the sum of its proper divisors (450720893260).

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

211120010100 is a wasteful number, since it uses less digits than its factorization.

211120010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34390 (or 34380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211120010100 its reverse (1010021112), we get a palindrome (212130031212).

The spelling of 211120010100 in words is "two hundred eleven billion, one hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 9391 18782 24979 28173 37564 46955 49958 56346 74937 84519 93910 99916 112692 124895 140865 149874 169038 187820 224811 234775 249790 281730 299748 338076 374685 422595 449622 469550 499580 563460 624475 704325 749370 845190 899244 939100 1124055 1248950 1408650 1498740 1690380 1873425 2112975 2248110 2497900 2817300 3746850 4225950 4496220 5620275 7493700 8451900 11240550 22481100 234577789 469155578 703733367 938311156 1172888945 1407466734 2111200101 2345777890 2814933468 3518666835 4222400202 4691555780 5864444725 7037333670 8444800404 10556000505 11728889450 14074667340 17593334175 21112001010 23457778900 35186668350 42224002020 52780002525 70373336700 105560005050 211120010100