Search a number
-
+
1102323303120 = 2435133111136041
BaseRepresentation
bin10000000010100111100…
…101101100001011010000
310220101021210202210110110
4100002213211230023100
5121030024231144440
62202222250001320
7142432412323014
oct20024745541320
93811253683413
101102323303120
11395546849016
12159779a16240
137cc4421c150
143b4d1c80544
151da19927080
hex100a796c2d0

1102323303120 has 160 divisors (see below), whose sum is σ = 3691900203264. Its totient is φ = 270468403200.

The previous prime is 1102323303077. The next prime is 1102323303121. The reversal of 1102323303120 is 213033232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102323303121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402300 + ... + 1538340.

Almost surely, 21102323303120 is an apocalyptic number.

1102323303120 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 1102323303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845950101632).

1102323303120 is an abundant number, since it is smaller than the sum of its proper divisors (2589576900144).

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

1102323303120 is a wasteful number, since it uses less digits than its factorization.

1102323303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136381 (or 1136375 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1102323303120 its reverse (213033232011), we get a palindrome (1315356535131).

The spelling of 1102323303120 in words is "one trillion, one hundred two billion, three hundred twenty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 311 312 390 520 622 624 780 933 1040 1244 1555 1560 1866 2488 3110 3120 3732 4043 4665 4976 6220 7464 8086 9330 12129 12440 14928 16172 18660 20215 24258 24880 32344 37320 40430 48516 60645 64688 74640 80860 97032 121290 161720 194064 242580 323440 485160 970320 1136041 2272082 3408123 4544164 5680205 6816246 9088328 11360410 13632492 14768533 17040615 18176656 22720820 27264984 29537066 34081230 44305599 45441640 54529968 59074132 68162460 73842665 88611198 90883280 118148264 136324920 147685330 177222396 221527995 236296528 272649840 295370660 353308751 354444792 443055990 590741320 706617502 708889584 886111980 1059926253 1181482640 1413235004 1766543755 1772223960 2119852506 2826470008 3533087510 3544447920 4239705012 4593013763 5299631265 5652940016 7066175020 8479410024 9186027526 10599262530 13779041289 14132350040 16958820048 18372055052 21198525060 22965068815 27558082578 28264700080 36744110104 42397050120 45930137630 55116165156 68895206445 73488220208 84794100240 91860275260 110232330312 137790412890 183720550520 220464660624 275580825780 367441101040 551161651560 1102323303120