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1111131434020 = 2251134909100153
BaseRepresentation
bin10000001010110100100…
…110000010110000100100
310221020000122211012112211
4100022310212002300210
5121201044121342040
62210240254453204
7143163605232646
oct20126446026044
93836018735484
101111131434020
11399256800143
1215b417804204
1380a1900101a
143bac99cc896
151dd82d538ea
hex102b4982c24

1111131434020 has 48 divisors (see below), whose sum is σ = 2354528398320. Its totient is φ = 440425230336.

The previous prime is 1111131434011. The next prime is 1111131434051. The reversal of 1111131434020 is 204341311111.

It can be written as a sum of positive squares in 8 ways, for example, as 34534275556 + 1076597158464 = 185834^2 + 1037592^2 .

It is a super-2 number, since 2×11111314340202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1111131433982 and 1111131434000.

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, 11044264 + ... + 11144416.

It is an arithmetic number, because the mean of its divisors is an integer number (49052674965).

Almost surely, 21111131434020 is an apocalyptic number.

1111131434020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111131434020 is an abundant number, since it is smaller than the sum of its proper divisors (1243396964300).

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

1111131434020 is a wasteful number, since it uses less digits than its factorization.

1111131434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105184 (or 105182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1111131434020 its reverse (204341311111), we get a palindrome (1315472745131).

The spelling of 1111131434020 in words is "one trillion, one hundred eleven billion, one hundred thirty-one million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 4909 9818 19636 24545 49090 98180 100153 200306 400612 500765 554717 1001530 1109434 2003060 2218868 2773585 5547170 11094340 11317289 22634578 45269156 56586445 113172890 226345780 491651077 983302154 1966604308 2458255385 4916510770 9833021540 55556571701 111113143402 222226286804 277782858505 555565717010 1111131434020