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2116236100 = 2252114740933
BaseRepresentation
bin111111000100011…
…0011001101000100
312110111001221011211
41332020303031010
513313224023400
6545554141204
7103304465356
oct17610631504
95414057154
102116236100
11996618560
124b0881804
13279584014
141610b50d6
15c5bc2dba
hex7e233344

2116236100 has 72 divisors (see below), whose sum is σ = 5116422528. Its totient is φ = 753148800.

The previous prime is 2116236079. The next prime is 2116236103. The reversal of 2116236100 is 16326112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2116236103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31234 + ... + 72166.

It is an arithmetic number, because the mean of its divisors is an integer number (71061424).

Almost surely, 22116236100 is an apocalyptic number.

2116236100 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 2116236100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558211264).

2116236100 is an abundant number, since it is smaller than the sum of its proper divisors (3000186428).

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

2116236100 is a wasteful number, since it uses less digits than its factorization.

2116236100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41005 (or 40998 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2116236100 is about 46002.5662327658. The cubic root of 2116236100 is about 1283.8709518244.

The spelling of 2116236100 in words is "two billion, one hundred sixteen million, two hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 40933 51700 81866 163732 204665 409330 450263 818660 900526 1023325 1801052 1923851 2046650 2251315 3847702 4093300 4502630 7695404 9005260 9619255 11256575 19238510 21162361 22513150 38477020 42324722 45026300 48096275 84649444 96192550 105811805 192385100 211623610 423247220 529059025 1058118050 2116236100