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103401144 = 23337116217
BaseRepresentation
bin1100010100111…
…00011010111000
321012120022201000
412022130122320
5202432314034
614132125000
72363616030
oct612343270
9235508630
10103401144
11534048a0
122a766760
1318564912
14da388c0
159127599
hex629c6b8

103401144 has 128 divisors (see below), whose sum is σ = 358156800. Its totient is φ = 26853120.

The previous prime is 103401131. The next prime is 103401187. The reversal of 103401144 is 441104301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13524 + ... + 19740.

It is an arithmetic number, because the mean of its divisors is an integer number (2798100).

Almost surely, 2103401144 is an apocalyptic number.

103401144 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 103401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179078400).

103401144 is an abundant number, since it is smaller than the sum of its proper divisors (254755656).

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

103401144 is a wasteful number, since it uses less digits than its factorization.

103401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103401144 is about 10168.6353066673. The cubic root of 103401144 is about 469.3625642700.

Adding to 103401144 its reverse (441104301), we get a palindrome (544505445).

The spelling of 103401144 in words is "one hundred three million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 6217 8316 12434 16632 18651 24868 37302 43519 49736 55953 68387 74604 87038 111906 130557 136774 149208 167859 174076 205161 223812 261114 273548 335718 348152 391671 410322 447624 478709 522228 547096 615483 671436 783342 820644 957418 1044456 1175013 1230966 1342872 1436127 1566684 1641288 1846449 1914836 2350026 2461932 2872254 3133368 3692898 3829672 4308381 4700052 4923864 5744508 7385796 8616762 9400104 11489016 12925143 14771592 17233524 25850286 34467048 51700572 103401144