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1102332103131 = 3731532617977
BaseRepresentation
bin10000000010101000000…
…111010000100111011011
310220101022102022212210210
4100002220013100213123
5121030034004300011
62202223202342203
7142432550164020
oct20025007204733
93811272285723
101102332103131
11395550809656
1215978095a963
137cc45cb075c
143b4d30d1547
151da1a5b46a6
hex100a81d09db

1102332103131 has 96 divisors (see below), whose sum is σ = 1771938459648. Its totient is φ = 596502466560.

The previous prime is 1102332103123. The next prime is 1102332103141. The reversal of 1102332103131 is 1313012332011.

It is a happy number.

It is not a de Polignac number, because 1102332103131 - 23 = 1102332103123 is a prime.

It is a super-2 number, since 2×11023321031312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1102332103098 and 1102332103107.

It is not an unprimeable number, because it can be changed into a prime (1102332103111) 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, 1128282115 + ... + 1128283091.

It is an arithmetic number, because the mean of its divisors is an integer number (18457692288).

Almost surely, 21102332103131 is an apocalyptic number.

1102332103131 is a deficient number, since it is larger than the sum of its proper divisors (669606356517).

1102332103131 is an equidigital number, since it uses as much as digits as its factorization.

1102332103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1102332103131 its reverse (1313012332011), we get a palindrome (2415344435142).

The spelling of 1102332103131 in words is "one trillion, one hundred two billion, three hundred thirty-two million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 53 93 159 217 371 617 651 977 1113 1643 1851 2809 2931 4319 4929 6839 8427 11501 12957 19127 19663 20517 30287 32701 34503 51781 57381 58989 87079 90861 98103 133889 155343 212009 228907 261237 362467 401667 602809 609553 636027 686721 1013731 1087401 1605211 1733153 1808427 1828659 2744393 3041193 4219663 4815633 5199459 7096117 8233179 11236477 12132071 12658989 18687079 19210751 21288351 31948877 33709431 36396213 53727743 56061237 57632253 85076183 95846631 130809553 161183229 223642139 255228549 376094201 392428659 595533281 670926417 990415187 1128282603 1693290481 1786599843 2971245561 5079871443 6932906309 11853033367 20798718927 35559100101 52492004911 157476014733 367444034377 1102332103131