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103212201300 = 223521361433847
BaseRepresentation
bin110000000011111101…
…1010011010101010100
3100212102000222002001020
41200013323103111110
53142334310420200
6115225351401140
710312460143605
oct1400773232524
9325360862036
10103212201300
113a85466251a
12180056831b0
13996b160a80
144dd1903dac
152a41247ea0
hex1807ed3554

103212201300 has 144 divisors (see below), whose sum is σ = 326871495552. Its totient is φ = 24989529600.

The previous prime is 103212201271. The next prime is 103212201317. The reversal of 103212201300 is 3102212301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103212201300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20977 + ... + 454823.

Almost surely, 2103212201300 is an apocalyptic number.

103212201300 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 103212201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163435747776).

103212201300 is an abundant number, since it is smaller than the sum of its proper divisors (223659294252).

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

103212201300 is a wasteful number, since it uses less digits than its factorization.

103212201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433938 (or 433931 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103212201300 its reverse (3102212301), we get a palindrome (106314413601).

The spelling of 103212201300 in words is "one hundred three billion, two hundred twelve million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 61 65 75 78 100 122 130 150 156 183 195 244 260 300 305 325 366 390 610 650 732 780 793 915 975 1220 1300 1525 1586 1830 1950 2379 3050 3172 3660 3900 3965 4575 4758 6100 7930 9150 9516 11895 15860 18300 19825 23790 39650 47580 59475 79300 118950 237900 433847 867694 1301541 1735388 2169235 2603082 4338470 5206164 5640011 6507705 8676940 10846175 11280022 13015410 16920033 21692350 22560044 26030820 26464667 28200055 32538525 33840066 43384700 52929334 56400110 65077050 67680132 79394001 84600165 105858668 112800220 130154100 132323335 141000275 158788002 169200330 264646670 282000550 317576004 338400660 344040671 396970005 423000825 529293340 564001100 661616675 688081342 793940010 846001650 1032122013 1323233350 1376162684 1587880020 1692003300 1720203355 1984850025 2064244026 2646466700 3440406710 3969700050 4128488052 5160610065 6880813420 7939400100 8601016775 10321220130 17202033550 20642440260 25803050325 34404067100 51606100650 103212201300