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100011010221 = 32431513115503
BaseRepresentation
bin101110100100100011…
…1101110100010101101
3100120010221100201102200
41131021013232202231
53114310304311341
6113535555012113
710140236363163
oct1351107564255
9316127321380
10100011010221
1139461676261
121747159a039
13957ab96075
144baa6c9233
1529051b1db6
hex17491ee8ad

100011010221 has 48 divisors (see below), whose sum is σ = 149304410112. Its totient is φ = 64472436000.

The previous prime is 100011010181. The next prime is 100011010289. The reversal of 100011010221 is 122010110001.

It is a happy number.

It is not a de Polignac number, because 100011010221 - 222 = 100006815917 is a prime.

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 (100011010321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18171156 + ... + 18176658.

It is an arithmetic number, because the mean of its divisors is an integer number (3110508544).

Almost surely, 2100011010221 is an apocalyptic number.

It is an amenable number.

100011010221 is a deficient number, since it is larger than the sum of its proper divisors (49293399891).

100011010221 is a wasteful number, since it uses less digits than its factorization.

100011010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 6011 counting only the distinct ones).

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

Adding to 100011010221 its reverse (122010110001), we get a palindrome (222021120222).

It can be divided in two parts, 1000110 and 10221, that added together give a triangular number (1010331 = T1421).

The spelling of 100011010221 in words is "one hundred billion, eleven million, ten thousand, two hundred twenty-one".

Divisors: 1 3 9 43 129 151 311 387 453 933 1359 2799 5503 6493 13373 16509 19479 40119 46961 49527 58437 120357 140883 236629 422649 709887 830953 1711433 2019323 2129661 2492859 5134299 6057969 7478577 15402897 18173907 35730979 73591619 107192937 220774857 258426383 321578811 662324571 775279149 2325837447 11112334469 33337003407 100011010221