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2132100300 = 22352112922279
BaseRepresentation
bin111111100010101…
…0100010011001100
312111120220220202210
41333011110103030
513331304202200
6551322150420
7103556360601
oct17705242314
95446826683
102132100300
119a4573570
124b6052410
1327c949b15
141632446a8
15c72a8650
hex7f1544cc

2132100300 has 144 divisors (see below), whose sum is σ = 6962054400. Its totient is φ = 499027200.

The previous prime is 2132100293. The next prime is 2132100307. The reversal of 2132100300 is 30012312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132100293) and next prime (2132100307).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2132100307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84561 + ... + 106839.

It is an arithmetic number, because the mean of its divisors is an integer number (48347600).

Almost surely, 22132100300 is an apocalyptic number.

2132100300 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 2132100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481027200).

2132100300 is an abundant number, since it is smaller than the sum of its proper divisors (4829954100).

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

2132100300 is a wasteful number, since it uses less digits than its factorization.

2132100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22336 (or 22329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2132100300 is about 46174.6716285021. The cubic root of 2132100300 is about 1287.0711148851.

Adding to 2132100300 its reverse (30012312), we get a palindrome (2162112612).

The spelling of 2132100300 in words is "two billion, one hundred thirty-two million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 22279 23925 31900 44558 47850 66837 89116 95700 111395 133674 222790 245069 267348 334185 445580 490138 556975 646091 668370 735207 980276 1113950 1225345 1292182 1336740 1470414 1670925 1938273 2227900 2450690 2584364 2940828 3230455 3341850 3676035 3876546 4901380 6126725 6460910 6683700 7107001 7352070 7753092 9691365 12253450 12921820 14214002 14704140 16152275 18380175 19382730 21321003 24506900 28428004 32304550 35535005 36760350 38765460 42642006 48456825 64609100 71070010 73520700 85284012 96913650 106605015 142140020 177675025 193827300 213210030 355350050 426420060 533025075 710700100 1066050150 2132100300