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11320433120 = 255711317607
BaseRepresentation
bin10101000101100000…
…00001100111100000
31002012221101120211202
422202300001213200
5141141012324440
65111152100332
7550350044123
oct124260014740
932187346752
1011320433120
11488a0a8a57
12223b2346a8
1310b542aa49
147956823ba
15463c87615
hex2a2c019e0

11320433120 has 96 divisors (see below), whose sum is σ = 27331831296. Its totient is φ = 4429734400.

The previous prime is 11320433119. The next prime is 11320433123. The reversal of 11320433120 is 2133402311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11320433092 and 11320433101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320433123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484357 + ... + 1491963.

It is an arithmetic number, because the mean of its divisors is an integer number (284706576).

Almost surely, 211320433120 is an apocalyptic number.

11320433120 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 11320433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665915648).

11320433120 is an abundant number, since it is smaller than the sum of its proper divisors (16011398176).

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

11320433120 is a wasteful number, since it uses less digits than its factorization.

11320433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11320433120 its reverse (2133402311), we get a palindrome (13453835431).

The spelling of 11320433120 in words is "eleven billion, three hundred twenty million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 131 142 160 262 284 355 524 568 655 710 1048 1136 1310 1420 2096 2272 2620 2840 4192 5240 5680 7607 9301 10480 11360 15214 18602 20960 30428 37204 38035 46505 60856 74408 76070 93010 121712 148816 152140 186020 243424 297632 304280 372040 540097 608560 744080 996517 1080194 1217120 1488160 1993034 2160388 2700485 3986068 4320776 4982585 5400970 7972136 8641552 9965170 10801940 15944272 17283104 19930340 21603880 31888544 39860680 43207760 70752707 79721360 86415520 141505414 159442720 283010828 353763535 566021656 707527070 1132043312 1415054140 2264086624 2830108280 5660216560 11320433120