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103013550 = 232522337269
BaseRepresentation
bin1100010001111…
…01110010101110
321011211122000200
412020331302232
5202332413200
614115534330
72360413023
oct610756256
9234748020
10103013550
115316a672
122a5ba3a6
131845a383
14d97754a
15909c800
hex623dcae

103013550 has 144 divisors (see below), whose sum is σ = 297704160. Its totient is φ = 25470720.

The previous prime is 103013549. The next prime is 103013563. The reversal of 103013550 is 55310301.

It is a happy number.

103013550 is a `hidden beast` number, since 10 + 301 + 355 + 0 = 666.

It is a super-2 number, since 2×1030135502 = 21223582967205000, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382816 + ... + 383084.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2103013550 is an apocalyptic number.

103013550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103013550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852080).

103013550 is an abundant number, since it is smaller than the sum of its proper divisors (194690610).

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

103013550 is a wasteful number, since it uses less digits than its factorization.

103013550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 103013550 is about 10149.5591037247. The cubic root of 103013550 is about 468.7753692936.

Adding to 103013550 its reverse (55310301), we get a palindrome (158323851).

The spelling of 103013550 in words is "one hundred three million, thirteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 37 45 46 50 69 74 75 90 111 115 138 150 185 207 222 225 230 269 333 345 370 414 450 538 555 575 666 690 807 851 925 1035 1110 1150 1345 1614 1665 1702 1725 1850 2070 2421 2553 2690 2775 3330 3450 4035 4255 4842 5106 5175 5550 6187 6725 7659 8070 8325 8510 9953 10350 12105 12374 12765 13450 15318 16650 18561 19906 20175 21275 24210 25530 29859 30935 37122 38295 40350 42550 49765 55683 59718 60525 61870 63825 76590 89577 92805 99530 111366 121050 127650 149295 154675 179154 185610 191475 228919 248825 278415 298590 309350 382950 447885 457838 464025 497650 556830 686757 746475 895770 928050 1144595 1373514 1392075 1492950 2060271 2239425 2289190 2784150 3433785 4120542 4478850 5722975 6867570 10301355 11445950 17168925 20602710 34337850 51506775 103013550