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1120000021110 = 232553433754139
BaseRepresentation
bin10000010011000101001…
…101000001001001110110
310222001220201122002221100
4100103011031001021312
5121322230001133420
62214304303230530
7143626434046665
oct20230515011166
93861821562840
101120000021110
113a1a978a4963
121610918a8446
138180048c6a9
143c2cb796ddc
151e201723190
hex104c5341276

1120000021110 has 96 divisors (see below), whose sum is σ = 2967682367520. Its totient is φ = 292958475264.

The previous prime is 1120000021087. The next prime is 1120000021121. The reversal of 1120000021110 is 111200000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120000021092 and 1120000021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20660421 + ... + 20714559.

It is an arithmetic number, because the mean of its divisors is an integer number (30913357995).

Almost surely, 21120000021110 is an apocalyptic number.

1120000021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120000021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483841183760).

1120000021110 is an abundant number, since it is smaller than the sum of its proper divisors (1847682346410).

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

1120000021110 is a wasteful number, since it uses less digits than its factorization.

1120000021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58542 (or 58539 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120000021110 its reverse (111200000211), we get a palindrome (1231200021321).

The spelling of 1120000021110 in words is "one trillion, one hundred twenty billion, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4337 4770 8674 13011 21685 26022 39033 43370 54139 65055 78066 108278 130110 162417 195165 229861 270695 324834 390330 459722 487251 541390 689583 812085 974502 1149305 1379166 1624170 2068749 2298610 2436255 2869367 3447915 4137498 4872510 5738734 6895830 8608101 10343745 14346835 17216202 20687490 25824303 28693670 43040505 51648606 86081010 129121515 234800843 258243030 469601686 704402529 1174004215 1408805058 2113207587 2348008430 3522012645 4226415174 7044025290 10566037935 12444444679 21132075870 24888889358 37333334037 62222223395 74666668074 112000002111 124444446790 186666670185 224000004222 373333340370 560000010555 1120000021110