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100422114 = 23134379379
BaseRepresentation
bin1011111110001…
…01000111100010
320222221222020120
411333011013202
5201202001424
613544221110
72326400562
oct577050742
9228858216
10100422114
115175a691
122976a796
1317a60990
14d4a0da2
158c39a79
hex5fc51e2

100422114 has 64 divisors (see below), whose sum is σ = 224716800. Its totient is φ = 29719872.

The previous prime is 100422109. The next prime is 100422131. The reversal of 100422114 is 411224001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100422093 and 100422102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264777 + ... + 265155.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2100422114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100422114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112358400).

100422114 is an abundant number, since it is smaller than the sum of its proper divisors (124294686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100422114 is a wasteful number, since it uses less digits than its factorization.

100422114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100422114 is about 10021.0834743555. The cubic root of 100422114 is about 464.8110597872.

Adding to 100422114 its reverse (411224001), we get a palindrome (511646115).

The spelling of 100422114 in words is "one hundred million, four hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 78 79 86 129 158 237 258 379 474 559 758 1027 1118 1137 1677 2054 2274 3081 3354 3397 4927 6162 6794 9854 10191 14781 16297 20382 29562 29941 32594 44161 48891 59882 88322 89823 97782 132483 179646 211861 264966 389233 423722 635583 778466 1167699 1271166 1287463 2335398 2574926 3862389 7724778 16737019 33474038 50211057 100422114