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12320111230100 = 225217121716093701
BaseRepresentation
bin1011001101000111111111…
…0110100111110010010100
31121121210100201211110210122
42303101333312213302110
53103323041433330400
642111440404411112
72411045561405642
oct263217766476224
947553321743718
1012320111230100
113a1aa25671a23
12146b8783a6a98
136b4a20c6c33b
14308421abc192
1516571aebc685
hexb347fda7c94

12320111230100 has 144 divisors (see below), whose sum is σ = 28355794331760. Its totient is φ = 4630216704000.

The previous prime is 12320111230033. The next prime is 12320111230111. The reversal of 12320111230100 is 103211102321.

It can be written as a sum of positive squares in 24 ways, for example, as 3863717021956 + 8456394208144 = 1965634^2 + 2907988^2 .

It is a super-2 number, since 2×123201112301002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328858250 + ... + 3328861950.

It is an arithmetic number, because the mean of its divisors is an integer number (196915238415).

Almost surely, 212320111230100 is an apocalyptic number.

12320111230100 is a gapful number since it is divisible by the number (10) 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 12320111230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177897165880).

12320111230100 is an abundant number, since it is smaller than the sum of its proper divisors (16035683101660).

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

12320111230100 is a wasteful number, since it uses less digits than its factorization.

12320111230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12320111230100 its reverse (103211102321), we get a palindrome (12423322332421).

The spelling of 12320111230100 in words is "twelve trillion, three hundred twenty billion, one hundred eleven million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1217 1609 1700 2434 3218 3701 4868 6085 6436 7402 8045 12170 14804 16090 18505 20689 24340 27353 30425 32180 37010 40225 41378 54706 60850 62917 74020 80450 82756 92525 103445 109412 121700 125834 136765 160900 185050 206890 251668 273530 314585 370100 413780 517225 547060 629170 683825 1034450 1258340 1367650 1572925 1958153 2068900 2735300 3145850 3916306 4504117 5954909 6291700 7832612 9008234 9790765 11909818 18016468 19581530 22520585 23819636 29774545 33288601 39163060 45041170 48953825 59549090 66577202 76569989 90082340 97907650 101233453 112602925 119098180 133154404 148872725 153139978 166443005 195815300 202466906 225205850 297745450 306279956 332886010 382849945 404933812 450411700 506167265 595490900 665772020 765699890 832215025 1012334530 1531399780 1664430050 1914249725 2024669060 2530836325 3328860100 3828499450 5061672650 7247124253 7656998900 10123345300 14494248506 28988497012 36235621265 72471242530 123201112301 144942485060 181178106325 246402224602 362356212650 492804449204 616005561505 724712425300 1232011123010 2464022246020 3080027807525 6160055615050 12320111230100