Search a number
-
+
1102333103312 = 24737250314293
BaseRepresentation
bin10000000010101000001…
…011000100110011010000
310220101022111012200210112
4100002220023010303100
5121030034233301222
62202223240020452
7142432561531010
oct20025013046320
93811274180715
101102333103312
11395551332051
12159781161728
137cc46270a8c
143b4d32b1c40
151da1a710be2
hex100a82c4cd0

1102333103312 has 120 divisors (see below), whose sum is σ = 2513796356736. Its totient is φ = 458714202624.

The previous prime is 1102333103293. The next prime is 1102333103351. The reversal of 1102333103312 is 2133013332011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77116838 + ... + 77131130.

Almost surely, 21102333103312 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 1102333103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256898178368).

1102333103312 is an abundant number, since it is smaller than the sum of its proper divisors (1411463253424).

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

1102333103312 is a wasteful number, since it uses less digits than its factorization.

1102333103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14842 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1102333103312 its reverse (2133013332011), we get a palindrome (3235346435323).

The spelling of 1102333103312 in words is "one trillion, one hundred two billion, three hundred thirty-three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 503 518 592 1006 1036 1369 2012 2072 2738 3521 4024 4144 5476 7042 8048 9583 10952 14084 14293 18611 19166 21904 28168 28586 37222 38332 56336 57172 74444 76664 100051 114344 130277 148888 153328 200102 228688 260554 297776 400204 521108 528841 688607 800408 1042216 1057682 1377214 1600816 2084432 2115364 2754428 3701887 4230728 4820249 5508856 7189379 7403774 8461456 9640498 11017712 14378758 14807548 19280996 19567117 28757516 29615096 38561992 39134234 50325653 57515032 59230192 77123984 78268468 100651306 115030064 136969819 156536936 201302612 266007023 273939638 313073872 402605224 532014046 547879276 805210448 1064028092 1095758552 1862049161 2128056184 2191517104 3724098322 4256112368 7448196644 9842259851 14896393288 19684519702 29792786576 39369039404 68895818957 78738078808 137791637914 157476157616 275583275828 551166551656 1102333103312