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131222232100000 = 25557727169823
BaseRepresentation
bin11101110101100010001110…
…100001111110110010100000
3122012121201111222100002120101
4131311202032201332302200
5114144421112404200000
61143030354453352144
736432331145143546
oct3565421641766240
9565551458302511
10131222232100000
11388a2044078088
12128738b8038654
13582b284b07c42
142459293203d96
1510285d0e5ce6a
hex77588e87eca0

131222232100000 has 144 divisors (see below), whose sum is σ = 322952735702016. Its totient is φ = 52481790880000.

The previous prime is 131222232099991. The next prime is 131222232100009. The reversal of 131222232100000 is 1232222131.

It is an interprime number because it is at equal distance from previous prime (131222232099991) and next prime (131222232100009).

It is not an unprimeable number, because it can be changed into a prime (131222232100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772615089 + ... + 772784911.

It is an arithmetic number, because the mean of its divisors is an integer number (2242727331264).

Almost surely, 2131222232100000 is an apocalyptic number.

131222232100000 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 131222232100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161476367851008).

131222232100000 is an abundant number, since it is smaller than the sum of its proper divisors (191730503602016).

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

131222232100000 is an frugal number, since it uses more digits than its factorization.

131222232100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177585 (or 177557 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 131222232100000 its reverse (1232222131), we get a palindrome (131223464322131).

The spelling of 131222232100000 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, two hundred thirty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 7727 10000 12500 15454 20000 25000 30908 38635 50000 61816 77270 100000 123632 154540 169823 193175 247264 309080 339646 386350 618160 679292 772700 849115 965875 1236320 1358584 1545400 1698230 1931750 2717168 3090800 3396460 3863500 4245575 4829375 5434336 6181600 6792920 7727000 8491150 9658750 13585840 15454000 16982300 19317500 21227875 24146875 27171680 30908000 33964600 38635000 42455750 48293750 67929200 77270000 84911500 96587500 106139375 135858400 154540000 169823000 193175000 212278750 339646000 386350000 424557500 530696875 679292000 772700000 849115000 1061393750 1312222321 1698230000 2122787500 2624444642 3396460000 4245575000 5248889284 6561111605 8491150000 10497778568 13122223210 16982300000 20995557136 26244446420 32805558025 41991114272 52488892840 65611116050 104977785680 131222232100 164027790125 209955571360 262444464200 328055580250 524888928400 656111160500 820138950625 1049777856800 1312222321000 1640277901250 2624444642000 3280555802500 4100694753125 5248889284000 6561111605000 8201389506250 13122223210000 16402779012500 26244446420000 32805558025000 65611116050000 131222232100000