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2101099312 = 2413231992207
BaseRepresentation
bin111110100111100…
…0011101100110000
312102102120220102001
41331033003230300
513300340134222
6544253503344
7103032022654
oct17517035460
95372526361
102101099312
1198901a014
124a77a1b54
132763b4340
1415d094a64
15c46d2e27
hex7d3c3b30

2101099312 has 80 divisors (see below), whose sum is σ = 4599705600. Its totient is φ = 922496256.

The previous prime is 2101099291. The next prime is 2101099313. The reversal of 2101099312 is 2139901012.

It is not an unprimeable number, because it can be changed into a prime (2101099313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 950913 + ... + 953119.

It is an arithmetic number, because the mean of its divisors is an integer number (57496320).

Almost surely, 22101099312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101099312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299852800).

2101099312 is an abundant number, since it is smaller than the sum of its proper divisors (2498606288).

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

2101099312 is a wasteful number, since it uses less digits than its factorization.

2101099312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 2101099312 is about 45837.7498575137. The cubic root of 2101099312 is about 1280.8025793477.

The spelling of 2101099312 in words is "two billion, one hundred one million, ninety-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 199 208 299 368 398 598 796 1196 1592 2207 2392 2587 3184 4414 4577 4784 5174 8828 9154 10348 17656 18308 20696 28691 35312 36616 41392 50761 57382 59501 73232 101522 114764 119002 203044 229528 238004 406088 439193 459056 476008 659893 812176 878386 952016 1319786 1756772 2639572 3513544 5279144 5709509 7027088 10101439 10558288 11419018 20202878 22838036 40405756 45676072 80811512 91352144 131318707 161623024 262637414 525274828 1050549656 2101099312