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103482985920 = 2635311346607
BaseRepresentation
bin110000001100000010…
…0010000110111000000
3100220002220111100201020
41200120010100313000
53143413121022140
6115312303305440
710322255603256
oct1403004206700
9326086440636
10103482985920
113a9834a1a66
12180802ab280
1399b229ca62
1450198705d6
152a59dd56d0
hex1818110dc0

103482985920 has 112 divisors (see below), whose sum is σ = 329615889408. Its totient is φ = 27506652160.

The previous prime is 103482985891. The next prime is 103482985933. The reversal of 103482985920 is 29589284301.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125257 + ... + 471863.

Almost surely, 2103482985920 is an apocalyptic number.

103482985920 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 103482985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164807944704).

103482985920 is an abundant number, since it is smaller than the sum of its proper divisors (226132903488).

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

103482985920 is a wasteful number, since it uses less digits than its factorization.

103482985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346938 (or 346928 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 103482985920 in words is "one hundred three billion, four hundred eighty-two million, nine hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 311 320 480 622 933 960 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 9952 12440 14928 18660 19904 24880 29856 37320 49760 59712 74640 99520 149280 298560 346607 693214 1039821 1386428 1733035 2079642 2772856 3466070 4159284 5199105 5545712 6932140 8318568 10398210 11091424 13864280 16637136 20796420 22182848 27728560 33274272 41592840 55457120 66548544 83185680 107794777 110914240 166371360 215589554 323384331 332742720 431179108 538973885 646768662 862358216 1077947770 1293537324 1616921655 1724716432 2155895540 2587074648 3233843310 3449432864 4311791080 5174149296 6467686620 6898865728 8623582160 10348298592 12935373240 17247164320 20696597184 25870746480 34494328640 51741492960 103482985920