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103321003240 = 235713104927059
BaseRepresentation
bin110000000111001101…
…0010110010011101000
3100212200121200210020201
41200032122112103220
53143100134100430
6115244235401544
710315251015460
oct1401632262350
9325617623221
10103321003240
113a900015a84
1218035bb32b4
139987866a10
145002146ba0
152a4aa8a8ca
hex180e6964e8

103321003240 has 128 divisors (see below), whose sum is σ = 286403040000. Its totient is φ = 32667015168.

The previous prime is 103321003231. The next prime is 103321003273. The reversal of 103321003240 is 42300123301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3804831 + ... + 3831889.

It is an arithmetic number, because the mean of its divisors is an integer number (2237523750).

Almost surely, 2103321003240 is an apocalyptic number.

103321003240 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 103321003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143201520000).

103321003240 is an abundant number, since it is smaller than the sum of its proper divisors (183082036760).

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

103321003240 is a wasteful number, since it uses less digits than its factorization.

103321003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28139 (or 28135 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 103321003240 its reverse (42300123301), we get a palindrome (145621126541).

The spelling of 103321003240 in words is "one hundred three billion, three hundred twenty-one million, three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1049 1820 2098 3640 4196 5245 7343 8392 10490 13637 14686 20980 27059 27274 29372 36715 41960 54118 54548 58744 68185 73430 95459 108236 109096 135295 136370 146860 189413 190918 216472 270590 272740 293720 351767 378826 381836 477295 541180 545480 703534 757652 763672 947065 954590 1082360 1407068 1515304 1758835 1894130 1909180 2462369 2814136 3517670 3788260 3818360 4924738 7035340 7576520 9849476 12311845 14070680 19698952 24623690 28384891 49247380 56769782 98494760 113539564 141924455 198694237 227079128 283848910 369003583 397388474 567697820 738007166 794776948 993471185 1135395640 1476014332 1589553896 1845017915 1986942370 2583025081 2952028664 3690035830 3973884740 5166050162 7380071660 7947769480 10332100324 12915125405 14760143320 20664200648 25830250810 51660501620 103321003240