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1321231433104 = 241171213749477
BaseRepresentation
bin10011001110011111100…
…001111011110110010000
311200022022220001000010101
4103032133201323312100
5133121340221324404
62450544302542144
7164312226611302
oct23163741736620
94608286030111
101321231433104
1146a370777120
12194091897954
139778c9508cb
1447d3b223972
152457cd3a2a4
hex1339f87bd90

1321231433104 has 80 divisors (see below), whose sum is σ = 2833317691776. Its totient is φ = 591812121600.

The previous prime is 1321231433099. The next prime is 1321231433107. The reversal of 1321231433104 is 4013341321231.

It is not an unprimeable number, because it can be changed into a prime (1321231433107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26679214 + ... + 26728690.

Almost surely, 21321231433104 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 1321231433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416658845888).

1321231433104 is an abundant number, since it is smaller than the sum of its proper divisors (1512086258672).

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

1321231433104 is a wasteful number, since it uses less digits than its factorization.

1321231433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51704 (or 51698 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1321231433104 its reverse (4013341321231), we get a palindrome (5334572754335).

The spelling of 1321231433104 in words is "one trillion, three hundred twenty-one billion, two hundred thirty-one million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 2137 3124 4274 6248 8548 12496 17096 23507 34192 47014 49477 94028 98954 151727 188056 197908 303454 376112 395816 544247 606908 791632 1088494 1213816 1668997 2176988 2427632 3337994 3512867 4353976 6675988 7025734 8707952 13351976 14051468 26703952 28102936 38641537 56205872 77283074 105732349 154566148 211464698 309132296 422929396 618264592 845858792 1163055839 1691717584 2326111678 4652223356 7506996779 9304446712 15013993558 18608893424 30027987116 60055974232 82576964569 120111948464 165153929138 330307858276 660615716552 1321231433104