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1101121332020 = 2251729571095229
BaseRepresentation
bin10000000001011111111…
…100100010001100110100
310220021012001001100002022
4100001133330202030310
5121020044030111040
62201503111332312
7142360545615053
oct20013774421464
93807161040068
101101121332020
11394a8a316376
121594a3381098
137cab21b7748
143b41a39a39a
151d99914c6b5
hex1005ff22334

1101121332020 has 48 divisors (see below), whose sum is σ = 2449205897040. Its totient is φ = 414399227904.

The previous prime is 1101121331953. The next prime is 1101121332079. The reversal of 1101121332020 is 202331211011.

It can be written as a sum of positive squares in 8 ways, for example, as 40475044 + 1101080856976 = 6362^2 + 1049324^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1101121332020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457766 + ... + 1552994.

It is an arithmetic number, because the mean of its divisors is an integer number (51025122855).

Almost surely, 21101121332020 is an apocalyptic number.

1101121332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101121332020 is an abundant number, since it is smaller than the sum of its proper divisors (1348084565020).

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

1101121332020 is a wasteful number, since it uses less digits than its factorization.

1101121332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098212 (or 1098210 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1101121332020 its reverse (202331211011), we get a palindrome (1303452543031).

It can be divided in two parts, 1101 and 121332020, that added together give a palindrome (121333121).

The spelling of 1101121332020 in words is "one trillion, one hundred one billion, one hundred twenty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2957 5914 11828 14785 29570 50269 59140 100538 201076 251345 502690 1005380 1095229 2190458 4380916 5476145 10952290 18618893 21904580 37237786 74475572 93094465 186188930 372377860 3238592153 6477184306 12954368612 16192960765 32385921530 55056066601 64771843060 110112133202 220224266404 275280333005 550560666010 1101121332020