Search a number
-
+
103332322001232 = 24321511862755049
BaseRepresentation
bin10111011111101011101110…
…010110001100000101010000
3111112212110210012001121201200
4113133223232112030011100
5102020444043413014412
61003434114032031200
730523341160614522
oct2737535626140520
9445773705047650
10103332322001232
112aa19a9a9a1065
12b70a5b5692500
134587271c45c5c
141b7344d80da12
15be2d9e0b69dc
hex5dfaee58c150

103332322001232 has 120 divisors (see below), whose sum is σ = 289417172990400. Its totient is φ = 34416696599040.

The previous prime is 103332322001201. The next prime is 103332322001257. The reversal of 103332322001232 is 232100223233301.

103332322001232 is a `hidden beast` number, since 1 + 0 + 3 + 332 + 3 + 2 + 200 + 123 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103332322001196 and 103332322001205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1877069644 + ... + 1877124692.

It is an arithmetic number, because the mean of its divisors is an integer number (2411809774920).

Almost surely, 2103332322001232 is an apocalyptic number.

103332322001232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103332322001232 is an abundant number, since it is smaller than the sum of its proper divisors (186084850989168).

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

103332322001232 is a wasteful number, since it uses less digits than its factorization.

103332322001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65201 (or 65192 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103332322001232 its reverse (232100223233301), we get a palindrome (335432545234533).

The spelling of 103332322001232 in words is "one hundred three trillion, three hundred thirty-two billion, three hundred twenty-two million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1511 3022 4533 6044 8627 9066 12088 13599 17254 18132 24176 25881 27198 34508 36264 51762 54396 55049 69016 72528 77643 103524 108792 110098 138032 155286 165147 207048 217584 220196 310572 330294 414096 440392 495441 621144 660588 880784 990882 1242288 1321176 1981764 2642352 3963528 7927056 13035397 26070794 39106191 52141588 78212382 83179039 104283176 117318573 156424764 166358078 208566352 234637146 249537117 312849528 332716156 469274292 474907723 499074234 625699056 665432312 748611351 938548584 949815446 998148468 1330864624 1424723169 1497222702 1877097168 1899630892 1996296936 2849446338 2994445404 3799261784 3992593872 4274169507 5698892676 5988890808 7598523568 8548339014 11397785352 11977781616 17096678028 22795570704 34193356056 68386712112 717585569453 1435171138906 2152756708359 2870342277812 4305513416718 5740684555624 6458270125077 8611026833436 11481369111248 12916540250154 17222053666872 25833080500308 34444107333744 51666161000616 103332322001232