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1153103353332 = 2237532571007813
BaseRepresentation
bin10000110001111010010…
…100001101010111110100
311002020100202101121210220
4100301322110031113310
5122343023424301312
62241421154414340
7146210655532440
oct20617224152764
94066322347726
101153103353332
11405034866367
1216758bb913b0
1384977778438
143db4c025820
151eedca02c8c
hex10c7a50d5f4

1153103353332 has 96 divisors (see below), whose sum is σ = 3145153681152. Its totient is φ = 321983840256.

The previous prime is 1153103353309. The next prime is 1153103353349. The reversal of 1153103353332 is 2333533013511.

It is a junction number, because it is equal to n+sod(n) for n = 1153103353293 and 1153103353302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640258 + ... + 1648070.

It is an arithmetic number, because the mean of its divisors is an integer number (32762017512).

Almost surely, 21153103353332 is an apocalyptic number.

1153103353332 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 1153103353332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572576840576).

1153103353332 is an abundant number, since it is smaller than the sum of its proper divisors (1992050327820).

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

1153103353332 is a wasteful number, since it uses less digits than its factorization.

1153103353332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008137 (or 1008135 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 33.

Adding to 1153103353332 its reverse (2333533013511), we get a palindrome (3486636366843).

The spelling of 1153103353332 in words is "one trillion, one hundred fifty-three billion, one hundred three million, three hundred fifty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 257 318 371 514 636 742 771 1028 1113 1484 1542 1799 2226 3084 3598 4452 5397 7196 10794 13621 21588 27242 40863 54484 81726 95347 163452 190694 286041 381388 572082 1007813 1144164 2015626 3023439 4031252 6046878 7054691 12093756 14109382 21164073 28218764 42328146 53414089 84656292 106828178 160242267 213656356 259007941 320484534 373898623 518015882 640969068 747797246 777023823 1036031764 1121695869 1495594492 1554047646 1813055587 2243391738 3108095292 3626111174 4486783476 5439166761 7252222348 10878333522 13727420873 21756667044 27454841746 41182262619 54909683492 82364525238 96091946111 164729050476 192183892222 288275838333 384367784444 576551676666 1153103353332