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103422144 = 2637210993
BaseRepresentation
bin1100010101000…
…01100011000000
321012121101111210
412022201203000
5202434002034
614132410120
72364034200
oct612414300
9235541453
10103422144
1153419651
122a776940
1318571347
14da42400
15912d8e9
hex62a18c0

103422144 has 84 divisors (see below), whose sum is σ = 318342264. Its totient is φ = 29546496.

The previous prime is 103422127. The next prime is 103422167. The reversal of 103422144 is 441224301.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1034221442 = 21392279739113472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103422144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3912 + ... + 14904.

Almost surely, 2103422144 is an apocalyptic number.

103422144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159171132).

103422144 is an abundant number, since it is smaller than the sum of its proper divisors (214920120).

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

103422144 is a wasteful number, since it uses less digits than its factorization.

103422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 103422144 is about 10169.6678411834. The cubic root of 103422144 is about 469.3943367962.

Adding to 103422144 its reverse (441224301), we get a palindrome (544646445).

The spelling of 103422144 in words is "one hundred three million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 10993 21986 32979 43972 65958 76951 87944 131916 153902 175888 230853 263832 307804 351776 461706 527664 538657 615608 703552 923412 1055328 1077314 1231216 1615971 1846824 2110656 2154628 2462432 3231942 3693648 4309256 4924864 6463884 7387296 8618512 12927768 14774592 17237024 25855536 34474048 51711072 103422144