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2031111300 = 2235237414463
BaseRepresentation
bin111100100010000…
…0100110010000100
312020112220010220110
41321010010302010
513124431030200
6533313433020
7101222106201
oct17104046204
95215803813
102031111300
11952566a89
1248826b770
13264a4b10a
14153a76ca8
15bd4aab50
hex79104c84

2031111300 has 144 divisors (see below), whose sum is σ = 6184104192. Its totient is φ = 514022400.

The previous prime is 2031111287. The next prime is 2031111307. The reversal of 2031111300 is 31111302.

It is a super-2 number, since 2×20311113002 = 8250826225975380000, which contains 22 as substring.

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 (2031111307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452869 + ... + 457331.

It is an arithmetic number, because the mean of its divisors is an integer number (42945168).

Almost surely, 22031111300 is an apocalyptic number.

2031111300 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 2031111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092052096).

2031111300 is an abundant number, since it is smaller than the sum of its proper divisors (4152992892).

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

2031111300 is a wasteful number, since it uses less digits than its factorization.

2031111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2031111300 is about 45067.8521786872. The cubic root of 2031111300 is about 1266.4204284351.

Adding to 2031111300 its reverse (31111302), we get a palindrome (2062222602).

The spelling of 2031111300 in words is "two billion, thirty-one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 41 50 60 74 75 82 100 111 123 148 150 164 185 205 222 246 300 370 410 444 492 555 615 740 820 925 1025 1110 1230 1517 1850 2050 2220 2460 2775 3034 3075 3700 4100 4463 4551 5550 6068 6150 7585 8926 9102 11100 12300 13389 15170 17852 18204 22315 22755 26778 30340 37925 44630 45510 53556 66945 75850 89260 91020 111575 113775 133890 151700 165131 182983 223150 227550 267780 330262 334725 365966 446300 455100 495393 548949 660524 669450 731932 825655 914915 990786 1097898 1338900 1651310 1829830 1981572 2195796 2476965 2744745 3302620 3659660 4128275 4574575 4953930 5489490 6770371 8256550 9149150 9907860 10978980 12384825 13540742 13723725 16513100 18298300 20311113 24769650 27081484 27447450 33851855 40622226 49539300 54894900 67703710 81244452 101555565 135407420 169259275 203111130 338518550 406222260 507777825 677037100 1015555650 2031111300