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2021241100 = 2252611033217
BaseRepresentation
bin111100001111001…
…1011000100001100
312012212022200112111
41320132123010030
513114414203400
6532322113404
7101042160124
oct17036330414
95185280474
102021241100
11947a3539a
12484aab864
132629a3668
14152627c84
15bc6ab3ba
hex7879b10c

2021241100 has 72 divisors (see below), whose sum is σ = 4502677088. Its totient is φ = 787276800.

The previous prime is 2021241097. The next prime is 2021241119. The reversal of 2021241100 is 11421202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626692 + ... + 629908.

Almost surely, 22021241100 is an apocalyptic number.

2021241100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251338544).

2021241100 is an abundant number, since it is smaller than the sum of its proper divisors (2481435988).

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

2021241100 is a wasteful number, since it uses less digits than its factorization.

2021241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2021241100 is about 44958.2150446389. The cubic root of 2021241100 is about 1264.3657034490.

Adding to 2021241100 its reverse (11421202), we get a palindrome (2032662302).

The spelling of 2021241100 in words is "two billion, twenty-one million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 103 122 206 244 305 412 515 610 1030 1220 1525 2060 2575 3050 3217 5150 6100 6283 6434 10300 12566 12868 16085 25132 31415 32170 62830 64340 80425 125660 157075 160850 196237 314150 321700 331351 392474 628300 662702 784948 981185 1325404 1656755 1962370 3313510 3924740 4905925 6627020 8283775 9811850 16567550 19623700 20212411 33135100 40424822 80849644 101062055 202124110 404248220 505310275 1010620550 2021241100