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131122233111221 = 11271169927893221
BaseRepresentation
bin11101110100000101000110…
…001000000111001010110101
3122012021011101212121010110022
4131310011012020013022311
5114141301313134024341
61142512420004134525
736422161112566322
oct3564050610071265
9565234355533408
10131122233111221
1138863699272800
121285844a697445
135821a09590871
1424544c8367b49
151025bcbd72e4b
hex7741462072b5

131122233111221 has 48 divisors (see below), whose sum is σ = 146339914896000. Its totient is φ = 117375391056000.

The previous prime is 131122233111203. The next prime is 131122233111281. The reversal of 131122233111221 is 122111332221131.

It is a de Polignac number, because none of the positive numbers 2k-131122233111221 is a prime.

It is a super-2 number, since 2×1311222331112212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122233111281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40708546391 + ... + 40708549611.

It is an arithmetic number, because the mean of its divisors is an integer number (3048748227000).

Almost surely, 2131122233111221 is an apocalyptic number.

131122233111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131122233111221 is a deficient number, since it is larger than the sum of its proper divisors (15217681784779).

131122233111221 is a wasteful number, since it uses less digits than its factorization.

131122233111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 7791 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

Adding to 131122233111221 its reverse (122111332221131), we get a palindrome (253233565332352).

It can be divided in two parts, 1311222 and 33111221, that added together give a palindrome (34422443).

The spelling of 131122233111221 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, two hundred thirty-three million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 71 121 781 1699 2789 3221 8591 18689 30679 35431 120629 198019 205579 228691 337469 389741 1326919 2178209 2515601 4738511 5472479 8983369 14596109 23960299 27671611 52123621 60197269 98817059 336434281 388546009 573359831 637819199 662169959 1086987649 3700777091 4274006099 7016011189 15262743931 40708548001 47014067089 77176123079 167890183241 1083654819101 1846792015651 11920203010111 131122233111221