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131223323100 = 2235237115110271
BaseRepresentation
bin111101000110110000…
…1010000000111011100
3110112201011211111102210
41322031201100013130
54122221132314400
6140141055120420
712323556562002
oct1721541200734
9415634744383
10131223323100
1150719165961
1221522513110
13c4b3473b5c
1464cbb4aa72
153630459950
hex1e8d8501dc

131223323100 has 144 divisors (see below), whose sum is σ = 390311018496. Its totient is φ = 34014240000.

The previous prime is 131223323089. The next prime is 131223323111. The reversal of 131223323100 is 1323322131.

It is an interprime number because it is at equal distance from previous prime (131223323089) and next prime (131223323111).

It is a super-2 number, since 2×1312233231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 12770965 + ... + 12781235.

It is an arithmetic number, because the mean of its divisors is an integer number (2710493184).

Almost surely, 2131223323100 is an apocalyptic number.

131223323100 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 131223323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195155509248).

131223323100 is an abundant number, since it is smaller than the sum of its proper divisors (259087695396).

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

131223323100 is a wasteful number, since it uses less digits than its factorization.

131223323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11476 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131223323100 its reverse (1323322131), we get a palindrome (132546645231).

The spelling of 131223323100 in words is "one hundred thirty-one billion, two hundred twenty-three million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1151 1850 2220 2302 2775 3453 3700 4604 5550 5755 6906 10271 11100 11510 13812 17265 20542 23020 28775 30813 34530 41084 42587 51355 57550 61626 69060 85174 86325 102710 115100 123252 127761 154065 170348 172650 205420 212935 255522 256775 308130 345300 380027 425870 511044 513550 616260 638805 760054 770325 851740 1027100 1064675 1140081 1277610 1520108 1540650 1900135 2129350 2280162 2555220 3081300 3194025 3800270 4258700 4560324 5700405 6388050 7600540 9500675 11400810 11821921 12776100 19001350 22801620 23643842 28502025 35465763 38002700 47287684 57004050 59109605 70931526 114008100 118219210 141863052 177328815 236438420 295548025 354657630 437411077 591096050 709315260 874822154 886644075 1182192100 1312233231 1749644308 1773288150 2187055385 2624466462 3546576300 4374110770 5248932924 6561166155 8748221540 10935276925 13122332310 21870553850 26244664620 32805830775 43741107700 65611661550 131223323100