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103351208532 = 2231113349172573
BaseRepresentation
bin110000001000000110…
…1100100101001010100
3100212202201112101010020
41200100031210221110
53143130402133112
6115251235025140
710316065530525
oct1402015445124
9325681471106
10103351208532
113a916076730
121804413b1b0
139990bb1280
14500616a84c
152a4d55548c
hex1810364a54

103351208532 has 96 divisors (see below), whose sum is σ = 284125833600. Its totient is φ = 28826426880.

The previous prime is 103351208531. The next prime is 103351208539. The reversal of 103351208532 is 235802153301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 103351208493 and 103351208502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103351208531) by changing a digit.

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, 512598 + ... + 685170.

It is an arithmetic number, because the mean of its divisors is an integer number (2959644100).

Almost surely, 2103351208532 is an apocalyptic number.

103351208532 is a gapful number since it is divisible by the number (12) 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 103351208532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142062916800).

103351208532 is an abundant number, since it is smaller than the sum of its proper divisors (180774625068).

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

103351208532 is a wasteful number, since it uses less digits than its factorization.

103351208532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172953 (or 172951 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 103351208532 in words is "one hundred three billion, three hundred fifty-one million, two hundred eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 349 429 572 698 858 1047 1396 1716 2094 3839 4188 4537 7678 9074 11517 13611 15356 18148 23034 27222 46068 49907 54444 99814 149721 172573 199628 299442 345146 517719 598884 690292 1035438 1898303 2070876 2243449 3796606 4486898 5694909 6730347 7593212 8973796 11389818 13460694 22779636 24677939 26921388 49355878 60227977 74033817 98711756 120455954 148067634 180683931 240911908 296135268 361367862 662507747 722735724 782963701 1325015494 1565927402 1987523241 2348891103 2650030988 3131854804 3975046482 4697782206 7950092964 8612600711 9395564412 17225201422 25837802133 34450402844 51675604266 103351208532