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2321013100 = 225275373857
BaseRepresentation
bin1000101001010111…
…1101100101101100
312222202101200102011
42022111331211230
514223134404400
61022151211004
7111342200020
oct21225754554
95882350364
102321013100
11a9117354a
12549376a64
132acb21743
1418037c380
15d8b728ba
hex8a57d96c

2321013100 has 144 divisors (see below), whose sum is σ = 5951994048. Its totient is φ = 769167360.

The previous prime is 2321013089. The next prime is 2321013109. The reversal of 2321013100 is 13101232.

It is a super-2 number, since 2×23210131002 = 10774203620743220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2321013109) 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 47 ways as a sum of consecutive naturals, for example, 2707872 + ... + 2708728.

It is an arithmetic number, because the mean of its divisors is an integer number (41333292).

Almost surely, 22321013100 is an apocalyptic number.

2321013100 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 2321013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975997024).

2321013100 is an abundant number, since it is smaller than the sum of its proper divisors (3630980948).

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

2321013100 is a wasteful number, since it uses less digits than its factorization.

2321013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2321013100 is about 48176.8938392670. The cubic root of 2321013100 is about 1324.0138574320.

Adding to 2321013100 its reverse (13101232), we get a palindrome (2334114332).

The spelling of 2321013100 in words is "two billion, three hundred twenty-one million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 73 100 106 140 146 175 212 265 292 350 365 371 511 530 700 730 742 857 1022 1060 1325 1460 1484 1714 1825 1855 2044 2555 2650 3428 3650 3710 3869 4285 5110 5300 5999 7300 7420 7738 8570 9275 10220 11998 12775 15476 17140 18550 19345 21425 23996 25550 27083 29995 37100 38690 42850 45421 51100 54166 59990 62561 77380 85700 90842 96725 108332 119980 125122 135415 149975 181684 193450 227105 250244 270830 299950 312805 317947 386900 437927 454210 541660 599900 625610 635894 677075 875854 908420 1135525 1251220 1271788 1354150 1564025 1589735 1751708 2189635 2271050 2708300 3128050 3179470 3315733 4379270 4542100 6256100 6358940 6631466 7948675 8758540 10948175 13262932 15897350 16578665 21896350 23210131 31794700 33157330 43792700 46420262 66314660 82893325 92840524 116050655 165786650 232101310 331573300 464202620 580253275 1160506550 2321013100