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103531225340 = 22519973797411
BaseRepresentation
bin110000001101011110…
…0010010000011111100
3100220020021021011202102
41200122330102003330
53144012443202330
6115321145244232
710323412616054
oct1403274220374
9326207234672
10103531225340
113a9a874aa54
1218094493678
1399bc28c9aa
14502202a564
152a5e263945
hex181af120fc

103531225340 has 96 divisors (see below), whose sum is σ = 231859219200. Its totient is φ = 38720747520.

The previous prime is 103531225333. The next prime is 103531225367. The reversal of 103531225340 is 43522135301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13966235 + ... + 13973645.

It is an arithmetic number, because the mean of its divisors is an integer number (2415200200).

Almost surely, 2103531225340 is an apocalyptic number.

103531225340 is a gapful number since it is divisible by the number (10) 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 103531225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115929609600).

103531225340 is an abundant number, since it is smaller than the sum of its proper divisors (128327993860).

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

103531225340 is a wasteful number, since it uses less digits than its factorization.

103531225340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 103531225340 in words is "one hundred three billion, five hundred thirty-one million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 379 380 388 485 758 970 1516 1843 1895 1940 3686 3790 7201 7372 7411 7580 9215 14402 14822 18430 28804 29644 36005 36763 36860 37055 72010 73526 74110 140809 144020 147052 148220 183815 281618 367630 563236 698497 704045 718867 735260 1396994 1408090 1437734 2793988 2808769 2816180 2875468 3492485 3594335 5617538 6984970 7188670 11235076 13658473 13969940 14043845 14377340 27316946 28087690 53366611 54633892 56175380 68292365 106733222 136584730 213466444 266833055 272450593 273169460 533666110 544901186 1067332220 1089802372 1362252965 2724505930 5176561267 5449011860 10353122534 20706245068 25882806335 51765612670 103531225340