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11131130101021 = 732910122748809
BaseRepresentation
bin1010000111111010101100…
…0011100011110100011101
31110102010101121002000002121
42201332223003203310131
52424333023301213041
635401323124422541
72226124531513000
oct241765303436435
943363347060077
1011131130101021
11360175a832727
1212b9354b47a51
136298794884c8
142a6a6cb77537
1514482d84c7d1
hexa1fab0e3d1d

11131130101021 has 64 divisors (see below), whose sum is σ = 13621504320000. Its totient is φ = 9080396505600.

The previous prime is 11131130101019. The next prime is 11131130101051. The reversal of 11131130101021 is 12010103113111.

It is not a de Polignac number, because 11131130101021 - 21 = 11131130101019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11131130100986 and 11131130101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131130101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228030465 + ... + 228079273.

It is an arithmetic number, because the mean of its divisors is an integer number (212836005000).

Almost surely, 211131130101021 is an apocalyptic number.

It is an amenable number.

11131130101021 is a deficient number, since it is larger than the sum of its proper divisors (2490374218979).

11131130101021 is a wasteful number, since it uses less digits than its factorization.

11131130101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49187 (or 49173 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11131130101021 its reverse (12010103113111), we get a palindrome (23141233214132).

The spelling of 11131130101021 in words is "eleven trillion, one hundred thirty-one billion, one hundred thirty million, one hundred one thousand, twenty-one".

Divisors: 1 7 29 49 101 203 227 343 707 1421 1589 2929 4949 6583 9947 11123 20503 22927 34643 46081 48809 77861 143521 160489 322567 341663 664883 1004647 1123423 1415461 2257969 2391641 4654181 4929709 7863961 9908227 11079643 16741487 32579267 34507963 69357589 77557501 142961561 228054869 241555741 321309647 485503123 542902507 1000730927 1119043943 1690890187 2249167529 3800317549 7005116489 7833307601 15744172703 32452274347 49035815423 54833153207 110209208921 227165920429 383832072449 1590161443003 11131130101021