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1022100310023 = 31370433721099
BaseRepresentation
bin11101101111110011110…
…11010000100000000111
310121201012221001111102220
432313321323100200013
5113221230134410043
62101314004503423
7133562412200532
oct16677173204007
93551187044386
101022100310023
11364519a84a21
1214610b3aab73
13754cab3c470
1437681659a19
151b8c1aab483
hexedf9ed0807

1022100310023 has 16 divisors (see below), whose sum is σ = 1467839990400. Its totient is φ = 628895330784.

The previous prime is 1022100310009. The next prime is 1022100310057. The reversal of 1022100310023 is 3200130012201.

It is not a de Polignac number, because 1022100310023 - 25 = 1022100309991 is a prime.

It is a super-3 number, since 3×10221003100233 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1022100309984 and 1022100310011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100310003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585873 + ... + 2135226.

It is an arithmetic number, because the mean of its divisors is an integer number (91739999400).

Almost surely, 21022100310023 is an apocalyptic number.

1022100310023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1022100310023 is a deficient number, since it is larger than the sum of its proper divisors (445739680377).

1022100310023 is a wasteful number, since it uses less digits than its factorization.

1022100310023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728158.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1022100310023 its reverse (3200130012201), we get a palindrome (4222230322224).

It can be divided in two parts, 10221003 and 10023, that added together give a triangular number (10231026 = T4523).

The spelling of 1022100310023 in words is "one trillion, twenty-two billion, one hundred million, three hundred ten thousand, twenty-three".

Divisors: 1 3 13 39 7043 21129 91559 274677 3721099 11163297 48374287 145122861 26207700257 78623100771 340700103341 1022100310023