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1101331130020 = 225116779945787
BaseRepresentation
bin10000000001101100011…
…100110110011010100100
310220021201122211011211121
4100001230130312122210
5121021011232130040
62201540004143324
7142366004101042
oct20015434663244
93807648734747
101101331130020
11395087790750
12159541697b44
137cb167c2684
143b43a1ad392
151d9ac78ec4a
hex1006c7366a4

1101331130020 has 96 divisors (see below), whose sum is σ = 2593123706880. Its totient is φ = 389512506240.

The previous prime is 1101331130017. The next prime is 1101331130021. The reversal of 1101331130020 is 200311331011.

It is a super-2 number, since 2×11013311300202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101331129976 and 1101331130003.

It is not an unprimeable number, because it can be changed into a prime (1101331130021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691567 + ... + 1637353.

It is an arithmetic number, because the mean of its divisors is an integer number (27011705280).

Almost surely, 21101331130020 is an apocalyptic number.

1101331130020 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 1101331130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296561853440).

1101331130020 is an abundant number, since it is smaller than the sum of its proper divisors (1491792576860).

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

1101331130020 is a wasteful number, since it uses less digits than its factorization.

1101331130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945953 (or 945951 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1101331130020 its reverse (200311331011), we get a palindrome (1301642461031).

The spelling of 1101331130020 in words is "one trillion, one hundred one billion, three hundred thirty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 79 110 134 158 220 268 316 335 395 670 737 790 869 1340 1474 1580 1738 2948 3476 3685 4345 5293 7370 8690 10586 14740 17380 21172 26465 52930 58223 105860 116446 232892 291115 582230 945787 1164460 1891574 3783148 4728935 9457870 10403657 18915740 20807314 41614628 52018285 63367729 74717173 104036570 126735458 149434346 208073140 253470916 298868692 316838645 373585865 633677290 697045019 747171730 821888903 1267354580 1394090038 1494343460 1643777806 2788180076 3287555612 3485225095 4109444515 5006050591 6970450190 8218889030 10012101182 13940900380 16437778060 20024202364 25030252955 50060505910 55066556501 100121011820 110133113002 220266226004 275332782505 550665565010 1101331130020