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1131023130111 = 327711977011831
BaseRepresentation
bin10000011101010110001…
…110110101110111111111
311000010100221120001202200
4100131112032311313333
5122012313410130421
62223330154522543
7144466543661010
oct20352616656777
94003327501680
101131023130111
113a67340868a6
12163249436453
13828691185b4
143ca55761007
151e649329726
hex107563b5dff

1131023130111 has 96 divisors (see below), whose sum is σ = 1906749351936. Its totient is φ = 632711520000.

The previous prime is 1131023130109. The next prime is 1131023130119. The reversal of 1131023130111 is 1110313201311.

1131023130111 is a `hidden beast` number, since 1 + 131 + 0 + 231 + 301 + 1 + 1 = 666.

It is not a de Polignac number, because 1131023130111 - 21 = 1131023130109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131023130119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617706966 + ... + 617708796.

It is an arithmetic number, because the mean of its divisors is an integer number (19861972416).

Almost surely, 21131023130111 is an apocalyptic number.

1131023130111 is a deficient number, since it is larger than the sum of its proper divisors (775726221825).

1131023130111 is a wasteful number, since it uses less digits than its factorization.

1131023130111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131023130111 its reverse (1110313201311), we get a palindrome (2241336331422).

The spelling of 1131023130111 in words is "one trillion, one hundred thirty-one billion, twenty-three million, one hundred thirty thousand, one hundred eleven".

Divisors: 1 3 7 9 21 63 71 197 213 497 591 639 701 1379 1491 1773 1831 2103 4137 4473 4907 5493 6309 12411 12817 13987 14721 16479 38451 41961 44163 49771 97909 115353 125883 130001 138097 149313 293727 348397 360707 390003 414291 447939 881181 910007 966679 1045191 1082121 1170009 1242873 1283531 2524949 2730021 2900037 3135573 3246363 3850593 7574847 8190063 8700111 8984717 9804887 11551779 22724541 25610197 26954151 29414661 68634209 76830591 80862453 88243983 91130701 179271379 205902627 230491773 252855607 273392103 537814137 617707881 637914907 758566821 820176309 1613442411 1769989249 1913744721 2275700463 5309967747 5741234163 15929903241 17952748097 53858244291 125669236679 161574732873 377007710037 1131023130111