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122201233131 = 31922293731321
BaseRepresentation
bin111000111001111000…
…0101101011011101011
3102200102102011211200110
41301303300231123223
54000232003430011
6132045524305403
711554155225465
oct1616360553353
9380372154613
10122201233131
114790945715a
121b824b42263
13b6a625b093
145cb3825135
1532a3367ba6
hex1c73c2d6eb

122201233131 has 48 divisors (see below), whose sum is σ = 173306902560. Its totient is φ = 76578670080.

The previous prime is 122201233129. The next prime is 122201233177. The reversal of 122201233131 is 131332102221.

It is not a de Polignac number, because 122201233131 - 21 = 122201233129 is a prime.

It is a super-2 number, since 2×1222012331312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201233098 and 122201233107.

It is not an unprimeable number, because it can be changed into a prime (122201233181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92505951 + ... + 92507271.

It is an arithmetic number, because the mean of its divisors is an integer number (3610560470).

Almost surely, 2122201233131 is an apocalyptic number.

122201233131 is a deficient number, since it is larger than the sum of its proper divisors (51105669429).

122201233131 is a wasteful number, since it uses less digits than its factorization.

122201233131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122201233131 its reverse (131332102221), we get a palindrome (253533335352).

The spelling of 122201233131 in words is "one hundred twenty-two billion, two hundred one million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 19 57 229 361 373 687 1083 1119 1321 3963 4351 7087 13053 21261 25099 75297 82669 85417 134653 248007 256251 302509 403959 476881 492733 907527 1430643 1478199 1622923 4868769 5747671 9361927 17243013 28085781 30835537 92506611 109205749 112835857 177876613 327617247 338507571 533629839 2143881283 6431643849 40733744377 122201233131