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122053103431 = 71964711811201
BaseRepresentation
bin111000110101011101…
…1101000111101000111
3102200001002110001221021
41301222323220331013
53444431043302211
6132023113332011
711550406155460
oct1615273507507
9380032401837
10122053103431
1147842882116
121b7a3407007
13b68166557c
145c9bca5d67
153295357771
hex1c6aee8f47

122053103431 has 32 divisors (see below), whose sum is σ = 147304811520. Its totient is φ = 98791488000.

The previous prime is 122053103413. The next prime is 122053103441. The reversal of 122053103431 is 134301350221.

It is a happy number.

It is not a de Polignac number, because 122053103431 - 221 = 122051006279 is a prime.

It is a super-2 number, since 2×1220531034312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122053103396 and 122053103405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122053103441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101625631 + ... + 101626831.

It is an arithmetic number, because the mean of its divisors is an integer number (4603275360).

Almost surely, 2122053103431 is an apocalyptic number.

122053103431 is a deficient number, since it is larger than the sum of its proper divisors (25251708089).

122053103431 is a wasteful number, since it uses less digits than its factorization.

122053103431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 122053103431 its reverse (134301350221), we get a palindrome (256354453652).

The spelling of 122053103431 in words is "one hundred twenty-two billion, fifty-three million, one hundred three thousand, four hundred thirty-one".

Divisors: 1 7 19 133 647 1181 1201 4529 8267 8407 12293 22439 22819 86051 157073 159733 764107 777047 1418381 5348749 5439329 9928667 14518033 14763893 26949239 101626231 103347251 188644673 917692507 6423847549 17436157633 122053103431