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11211001020 = 223456920371
BaseRepresentation
bin10100111000011101…
…00100110010111100
31001221022110212020000
422130032210302330
5140430004013040
65052242354300
7544550636112
oct123416446274
931838425200
1011211001020
114833354aaa
12220a65b990
13109886401b
14784d17ab2
1545936d130
hex29c3a4cbc

11211001020 has 60 divisors (see below), whose sum is σ = 35169330504. Its totient is φ = 2989599840.

The previous prime is 11211001007. The next prime is 11211001049. The reversal of 11211001020 is 2010011211.

It is a happy number.

11211001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 11211000993 and 11211001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3458566 + ... + 3461805.

Almost surely, 211211001020 is an apocalyptic number.

11211001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211001020 is an abundant number, since it is smaller than the sum of its proper divisors (23958329484).

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

11211001020 is a wasteful number, since it uses less digits than its factorization.

11211001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920392 (or 6920381 counting only the distinct ones).

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

Adding to 11211001020 its reverse (2010011211), we get a palindrome (13221012231).

The spelling of 11211001020 in words is "eleven billion, two hundred eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6920371 13840742 20761113 27681484 34601855 41522226 62283339 69203710 83044452 103805565 124566678 138407420 186850017 207611130 249133356 311416695 373700034 415222260 560550051 622833390 747400068 934250085 1121100102 1245666780 1868500170 2242200204 2802750255 3737000340 5605500510 11211001020