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114122607324 = 2231137397879
BaseRepresentation
bin110101001001000111…
…1001100101011011100
3101220120101211010110020
41222102033030223130
53332210341413244
6124232135312140
711150031104535
oct1522217145334
9356511733406
10114122607324
1144443267000
121a14b51b650
13a9b964921b
14574893168c
152e7dedad19
hex1a923ccadc

114122607324 has 96 divisors (see below), whose sum is σ = 296909975040. Its totient is φ = 34108525440.

The previous prime is 114122607317. The next prime is 114122607353. The reversal of 114122607324 is 423706221411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1117017 + ... + 1214895.

It is an arithmetic number, because the mean of its divisors is an integer number (3092812240).

Almost surely, 2114122607324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114122607324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148454987520).

114122607324 is an abundant number, since it is smaller than the sum of its proper divisors (182787367716).

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

114122607324 is a wasteful number, since it uses less digits than its factorization.

114122607324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97992 (or 97968 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 114122607324 its reverse (423706221411), we get a palindrome (537828828735).

The spelling of 114122607324 in words is "one hundred fourteen billion, one hundred twenty-two million, six hundred seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 132 146 219 242 292 363 438 484 726 803 876 1331 1452 1606 2409 2662 3212 3993 4818 5324 7986 8833 9636 15972 17666 26499 35332 52998 97163 97879 105996 194326 195758 291489 293637 388652 391516 582978 587274 1076669 1165956 1174548 2153338 3230007 4306676 6460014 7145167 11843359 12920028 14290334 21435501 23686718 28580668 35530077 42871002 47373436 71060154 78596837 85742004 130276949 142120308 157193674 235790511 260553898 314387348 390830847 471581022 521107796 781661694 864565207 943162044 1563323388 1729130414 2593695621 3458260828 5187391242 9510217277 10374782484 19020434554 28530651831 38040869108 57061303662 114122607324