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122040013433 = 1321433503929
BaseRepresentation
bin111000110101000100…
…1101101001001111001
3102200000011211000211112
41301222021231021321
53444414220412213
6132021525010105
711550156666302
oct1615211551171
9380004730745
10122040013433
1147836451438
121b79ab53935
13b67ba31400
145c9a2597a9
15329411dea8
hex1c6a26d279

122040013433 has 12 divisors (see below), whose sum is σ = 132242318460. Its totient is φ = 112573483776.

The previous prime is 122040013427. The next prime is 122040013451. The reversal of 122040013433 is 334310040221.

It can be written as a sum of positive squares in 6 ways, for example, as 34511607529 + 87528405904 = 185773^2 + 295852^2 .

It is not a de Polignac number, because 122040013433 - 28 = 122040013177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122040013399 and 122040013408.

It is not an unprimeable number, because it can be changed into a prime (122040013453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9788 + ... + 494141.

It is an arithmetic number, because the mean of its divisors is an integer number (11020193205).

Almost surely, 2122040013433 is an apocalyptic number.

122040013433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122040013433 is a deficient number, since it is larger than the sum of its proper divisors (10202305027).

122040013433 is a wasteful number, since it uses less digits than its factorization.

122040013433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505388 (or 505375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 122040013433 its reverse (334310040221), we get a palindrome (456350053654).

The spelling of 122040013433 in words is "one hundred twenty-two billion, forty million, thirteen thousand, four hundred thirty-three".

Divisors: 1 13 169 1433 18629 242177 503929 6551077 85164001 722130257 9387693341 122040013433