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1102132224120 = 2335107137626539
BaseRepresentation
bin10000000010011100001…
…100110010000001111000
310220100210111012222100110
4100002130030302001320
5121024131322132440
62202151302304320
7142424602222254
oct20023414620170
93810714188313
101102132224120
113954589a9594
12159725a280a0
137cc13769555
143b4b4741264
151da07c81080
hex1009c332078

1102132224120 has 128 divisors (see below), whose sum is σ = 3361662777600. Its totient is φ = 289029497856.

The previous prime is 1102132224091. The next prime is 1102132224157. The reversal of 1102132224120 is 214222312011.

It is a happy number.

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, 1445811 + ... + 2072349.

It is an arithmetic number, because the mean of its divisors is an integer number (26262990450).

Almost surely, 21102132224120 is an apocalyptic number.

1102132224120 is a gapful number since it is divisible by the number (10) 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 1102132224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680831388800).

1102132224120 is an abundant number, since it is smaller than the sum of its proper divisors (2259530553480).

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

1102132224120 is a wasteful number, since it uses less digits than its factorization.

1102132224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626797 (or 626793 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1102132224120 its reverse (214222312011), we get a palindrome (1316354536131).

The spelling of 1102132224120 in words is "one trillion, one hundred two billion, one hundred thirty-two million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 137 214 274 321 411 428 535 548 642 685 822 856 1070 1096 1284 1370 1605 1644 2055 2140 2568 2740 3210 3288 4110 4280 5480 6420 8220 12840 14659 16440 29318 43977 58636 73295 87954 117272 146590 175908 219885 293180 351816 439770 586360 626539 879540 1253078 1759080 1879617 2506156 3132695 3759234 5012312 6265390 7518468 9398085 12530780 15036936 18796170 25061560 37592340 67039673 75184680 85835843 134079346 171671686 201119019 257507529 268158692 335198365 343343372 402238038 429179215 515015058 536317384 670396730 686686744 804476076 858358430 1005595095 1030030116 1287537645 1340793460 1608952152 1716716860 2011190190 2060060232 2575075290 2681586920 3433433720 4022380380 5150150580 8044760760 9184435201 10300301160 18368870402 27553305603 36737740804 45922176005 55106611206 73475481608 91844352010 110213222412 137766528015 183688704020 220426444824 275533056030 367377408040 551066112060 1102132224120