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122252135401 = 11311031347731
BaseRepresentation
bin111000111011011001…
…0111000101111101001
3102200112221221221110201
41301312302320233221
54000333021313101
6132054543312201
711555344001554
oct1616662705751
9380487857421
10122252135401
1147935163850
121b839bab661
13b6b3971076
145cba4b569b
1532a7a6ee01
hex1c76cb8be9

122252135401 has 16 divisors (see below), whose sum is σ = 137802018816. Its totient is φ = 107448570000.

The previous prime is 122252135393. The next prime is 122252135531. The reversal of 122252135401 is 104531252221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122252135401 - 23 = 122252135393 is a prime.

It is a super-2 number, since 2×1222521354012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122252135401.

It is not an unprimeable number, because it can be changed into a prime (122202135401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177706 + ... + 525436.

It is an arithmetic number, because the mean of its divisors is an integer number (8612626176).

Almost surely, 2122252135401 is an apocalyptic number.

122252135401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122252135401 is a deficient number, since it is larger than the sum of its proper divisors (15549883415).

122252135401 is a wasteful number, since it uses less digits than its factorization.

122252135401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348804.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 122252135401 its reverse (104531252221), we get a palindrome (226783387622).

The spelling of 122252135401 in words is "one hundred twenty-two billion, two hundred fifty-two million, one hundred thirty-five thousand, four hundred one".

Divisors: 1 11 31 341 1031 11341 31961 347731 351571 3825041 10779661 118576271 358510661 3943617271 11113830491 122252135401