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2120234100 = 2235230723021
BaseRepresentation
bin111111001100000…
…0011010001110100
312110202121001101220
41332120003101310
513320234442400
6550215550340
7103353456345
oct17630032164
95422531356
102120234100
119988a9296
124b208b3b0
1327a3539ba
141618360cc
15c62127a0
hex7e603474

2120234100 has 72 divisors (see below), whose sum is σ = 6154793568. Its totient is φ = 563529600.

The previous prime is 2120234069. The next prime is 2120234113. The reversal of 2120234100 is 14320212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120234100.

It is a congruent 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, 80590 + ... + 103610.

It is an arithmetic number, because the mean of its divisors is an integer number (85483244).

Almost surely, 22120234100 is an apocalyptic number.

2120234100 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 2120234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077396784).

2120234100 is an abundant number, since it is smaller than the sum of its proper divisors (4034559468).

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

2120234100 is a wasteful number, since it uses less digits than its factorization.

2120234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23345 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2120234100 is about 46045.9998262607. Note that the first 3 decimals coincide. The cubic root of 2120234100 is about 1284.6789409204.

Adding to 2120234100 its reverse (14320212), we get a palindrome (2134554312).

The spelling of 2120234100 in words is "two billion, one hundred twenty million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 307 614 921 1228 1535 1842 3070 3684 4605 6140 7675 9210 15350 18420 23021 23025 30700 46042 46050 69063 92084 92100 115105 138126 230210 276252 345315 460420 575525 690630 1151050 1381260 1726575 2302100 3453150 6906300 7067447 14134894 21202341 28269788 35337235 42404682 70674470 84809364 106011705 141348940 176686175 212023410 353372350 424046820 530058525 706744700 1060117050 2120234100