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120010000210000 = 245416373625767
BaseRepresentation
bin11011010010011000000001…
…011011101001100001010000
3120201220211210020221100010121
4123102120001123221201100
5111212220440023210000
61103123455532040024
734164302452442305
oct3322300133514120
9521824706840117
10120010000210000
1135269a56511a7a
12115628aa303014
1351c6b8218b8b4
14218c72d2490ac
15dd1b07555b1a
hex6d26016e9850

120010000210000 has 100 divisors (see below), whose sum is σ = 292338768923872. Its totient is φ = 47709496368000.

The previous prime is 120010000209997. The next prime is 120010000210007. The reversal of 120010000210000 is 12000010021.

120010000210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010000210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35182884 + ... + 38442883.

Almost surely, 2120010000210000 is an apocalyptic number.

120010000210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010000210000 is an abundant number, since it is smaller than the sum of its proper divisors (172328768713872).

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

120010000210000 is an equidigital number, since it uses as much as digits as its factorization.

120010000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73625958 (or 73625937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120010000210000 its reverse (12000010021), we get a palindrome (120022000220021).

The spelling of 120010000210000 in words is "one hundred twenty trillion, ten billion, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 625 652 815 1000 1250 1304 1630 2000 2500 2608 3260 4075 5000 6520 8150 10000 13040 16300 20375 32600 40750 65200 81500 101875 163000 203750 326000 407500 815000 1630000 73625767 147251534 294503068 368128835 589006136 736257670 1178012272 1472515340 1840644175 2945030680 3681288350 5890061360 7362576700 9203220875 12001000021 14725153400 18406441750 24002000042 29450306800 36812883500 46016104375 48004000084 60005000105 73625767000 92032208750 96008000168 120010000210 147251534000 184064417500 192016000336 240020000420 300025000525 368128835000 480040000840 600050001050 736257670000 960080001680 1200100002100 1500125002625 2400200004200 3000250005250 4800400008400 6000500010500 7500625013125 12001000021000 15001250026250 24002000042000 30002500052500 60005000105000 120010000210000