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11020001120 = 255175968669
BaseRepresentation
bin10100100001101011…
…11101111101100000
31001110000002001121122
422100311331331200
5140032110013440
65021300511412
7540041315102
oct122065757540
931400061548
1011020001120
114745559a47
1221766ab568
13106810b42b
147677d9572
154476e07b5
hex290d7df60

11020001120 has 96 divisors (see below), whose sum is σ = 28033840800. Its totient is φ = 4078329856.

The previous prime is 11020001099. The next prime is 11020001129. The reversal of 11020001120 is 2110002011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11020001098 and 11020001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020001129) 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, 126146 + ... + 194814.

It is an arithmetic number, because the mean of its divisors is an integer number (292019175).

Almost surely, 211020001120 is an apocalyptic number.

11020001120 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 11020001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016920400).

11020001120 is an abundant number, since it is smaller than the sum of its proper divisors (17013839680).

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

11020001120 is a wasteful number, since it uses less digits than its factorization.

11020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68760 (or 68752 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11020001120 its reverse (2110002011), we get a palindrome (13130003131).

The spelling of 11020001120 in words is "eleven billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 68 80 85 118 136 160 170 236 272 295 340 472 544 590 680 944 1003 1180 1360 1888 2006 2360 2720 4012 4720 5015 8024 9440 10030 16048 20060 32096 40120 68669 80240 137338 160480 274676 343345 549352 686690 1098704 1167373 1373380 2197408 2334746 2746760 4051471 4669492 5493520 5836865 8102942 9338984 10987040 11673730 16205884 18677968 20257355 23347460 32411768 37355936 40514710 46694920 64823536 68875007 81029420 93389840 129647072 137750014 162058840 186779680 275500028 324117680 344375035 551000056 648235360 688750070 1102000112 1377500140 2204000224 2755000280 5510000560 11020001120