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122432153052 = 2231117231103529
BaseRepresentation
bin111001000000110000…
…1100110010111011100
3102201000111200210021010
41302001201212113130
54001220112344202
6132124453535220
711562661062426
oct1620141462734
9381014623233
10122432153052
1147a17838770
121b88a344510
13b71204cca1
145cd6375816
1532b877d76c
hex1c818665dc

122432153052 has 144 divisors (see below), whose sum is σ = 341738449920. Its totient is φ = 33791539200.

The previous prime is 122432153017. The next prime is 122432153059. The reversal of 122432153052 is 250351234221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122432153059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1130824 + ... + 1234352.

It is an arithmetic number, because the mean of its divisors is an integer number (2373183680).

Almost surely, 2122432153052 is an apocalyptic number.

122432153052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122432153052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170869224960).

122432153052 is an abundant number, since it is smaller than the sum of its proper divisors (219306296868).

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

122432153052 is a wasteful number, since it uses less digits than its factorization.

122432153052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103612 (or 103593 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 122432153052 its reverse (250351234221), we get a palindrome (372783387273).

The spelling of 122432153052 in words is "one hundred twenty-two billion, four hundred thirty-two million, one hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 289 341 372 374 527 561 578 682 748 867 1023 1054 1122 1156 1364 1581 1734 2046 2108 2244 3162 3179 3468 4092 5797 6324 6358 8959 9537 11594 12716 17391 17918 19074 23188 26877 34782 35836 38148 53754 69564 98549 103529 107508 197098 207058 295647 310587 394196 414116 591294 621174 1138819 1182588 1242348 1759993 2277638 3209399 3416457 3519986 4555276 5279979 6418798 6832914 7039972 9628197 10559958 12837596 13665828 19256394 19359923 21119916 29919881 35303389 38512788 38719846 54559783 58079769 59839762 70606778 77439692 89759643 105910167 109119566 116159538 119679524 141213556 163679349 179519286 211820334 218239132 232319076 327358698 329118691 359038572 423640668 600157613 654717396 658237382 927516311 987356073 1200315226 1316474764 1800472839 1855032622 1974712146 2400630452 2782548933 3600945678 3710065244 3949424292 5565097866 7201891356 10202679421 11130195732 20405358842 30608038263 40810717684 61216076526 122432153052