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111301011120 = 24351351136977
BaseRepresentation
bin110011110101000001…
…1101010011010110000
3101122021202111012010010
41213222003222122300
53310421024323440
6123044142534520
711020066661535
oct1475203523260
9348252435103
10111301011120
1143225579012
12196a2597440
13a659bca180
14555bcc8d8c
152d66437580
hex19ea0ea6b0

111301011120 has 160 divisors (see below), whose sum is σ = 371700084672. Its totient is φ = 27387887616.

The previous prime is 111301011097. The next prime is 111301011149. The reversal of 111301011120 is 21110103111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111301011096 and 111301011105.

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, 15949072 + ... + 15956048.

Almost surely, 2111301011120 is an apocalyptic number.

111301011120 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 111301011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185850042336).

111301011120 is an abundant number, since it is smaller than the sum of its proper divisors (260399073552).

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

111301011120 is a wasteful number, since it uses less digits than its factorization.

111301011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 111301011120 its reverse (21110103111), we get a palindrome (132411114231).

The spelling of 111301011120 in words is "one hundred eleven billion, three hundred one million, eleven 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 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 5113 6977 10226 13954 15339 20452 20931 25565 27908 30678 34885 40904 41862 51130 55816 61356 66469 69770 76695 81808 83724 90701 102260 104655 111632 122712 132938 139540 153390 167448 181402 199407 204520 209310 245424 265876 272103 279080 306780 332345 334896 362804 398814 409040 418620 453505 531752 544206 558160 613560 664690 725608 797628 837240 907010 997035 1063504 1088412 1227120 1329380 1360515 1451216 1595256 1674480 1814020 1994070 2176824 2658760 2721030 3190512 3628040 3988140 4353648 5317520 5442060 7256080 7976280 10884120 15952560 21768240 35673401 71346802 107020203 142693604 178367005 214040406 285387208 356734010 428080812 463754213 535101015 570774416 713468020 856161624 927508426 1070202030 1391262639 1426936040 1712323248 1855016852 2140404060 2318771065 2782525278 2853872080 3710033704 4280808120 4637542130 5565050556 6956313195 7420067408 8561616240 9275084260 11130101112 13912626390 18550168520 22260202224 27825252780 37100337040 55650505560 111301011120