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100100110002321 = 31113240274457099
BaseRepresentation
bin10110110000101001011111…
…011111111010100010010001
3111010102110212202221120100110
4112300221133133322202101
5101110020011130033241
6552521204455311533
730040665020132232
oct2660513737724221
9433373782846313
10100100110002321
1129993244545690
12b2880a437b5a9
1343b152768bb00
141aa0c2a709089
15b88c784d7816
hex5b0a5f7fa891

100100110002321 has 48 divisors (see below), whose sum is σ = 157700898259200. Its totient is φ = 55986142829760.

The previous prime is 100100110002281. The next prime is 100100110002353. The reversal of 100100110002321 is 123200011001001.

It is not a de Polignac number, because 100100110002321 - 226 = 100100042893457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100110002297 and 100100110002306.

It is not an unprimeable number, because it can be changed into a prime (100100110002371) 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, 20230030 + ... + 24687128.

It is an arithmetic number, because the mean of its divisors is an integer number (3285435380400).

Almost surely, 2100100110002321 is an apocalyptic number.

100100110002321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100110002321 is a deficient number, since it is larger than the sum of its proper divisors (57600788256879).

100100110002321 is a wasteful number, since it uses less digits than its factorization.

100100110002321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461166 (or 4461153 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100100110002321 its reverse (123200011001001), we get a palindrome (223300121003322).

The spelling of 100100110002321 in words is "one hundred trillion, one hundred billion, one hundred ten million, two thousand, three hundred twenty-one".

Divisors: 1 3 11 13 33 39 143 169 429 507 1859 4027 5577 12081 44297 52351 132891 157053 575861 680563 1727583 2041689 4457099 7486193 13371297 22458579 49028089 57942287 147084267 173826861 637365157 753249731 1912095471 2259749193 8285747041 17948737673 24857241123 53846213019 197436114403 233333589749 592308343209 700000769247 2566669487239 3033336666737 7700008461717 9100010000211 33366703334107 100100110002321