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103220211300 = 223521964328163
BaseRepresentation
bin110000000100001100…
…1110110111001100100
3100212102121001000200220
41200020121312321210
53142343333230200
6115230235204340
710312615214433
oct1401031667144
9325377030626
10103220211300
113a859133558
12180082a66b0
13996ca0690b
144dd29cb11a
152a41ccb4a0
hex1808676e64

103220211300 has 144 divisors (see below), whose sum is σ = 314869013760. Its totient is φ = 26035205760.

The previous prime is 103220211293. The next prime is 103220211331. The reversal of 103220211300 is 3112022301.

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 103220211300.

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, 3651019 + ... + 3679181.

Almost surely, 2103220211300 is an apocalyptic number.

103220211300 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 103220211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157434506880).

103220211300 is an abundant number, since it is smaller than the sum of its proper divisors (211648802460).

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

103220211300 is a wasteful number, since it uses less digits than its factorization.

103220211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28842 (or 28835 counting only the distinct ones).

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

Adding to 103220211300 its reverse (3112022301), we get a palindrome (106332233601).

The spelling of 103220211300 in words is "one hundred three billion, two hundred twenty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 643 950 1140 1286 1425 1900 1929 2572 2850 3215 3858 5700 6430 7716 9645 12217 12860 16075 19290 24434 28163 32150 36651 38580 48225 48868 56326 61085 64300 73302 84489 96450 112652 122170 140815 146604 168978 183255 192900 244340 281630 305425 337956 366510 422445 535097 563260 610850 704075 733020 844890 916275 1070194 1221700 1408150 1605291 1689780 1832550 2112225 2140388 2675485 2816300 3210582 3665100 4224450 5350970 6421164 8026455 8448900 10701940 13377425 16052910 18108809 26754850 32105820 36217618 40132275 53509700 54326427 72435236 80264550 90544045 108652854 160529100 181088090 217305708 271632135 344067371 362176180 452720225 543264270 688134742 905440450 1032202113 1086528540 1358160675 1376269484 1720336855 1810880900 2064404226 2716321350 3440673710 4128808452 5161010565 5432642700 6881347420 8601684275 10322021130 17203368550 20644042260 25805052825 34406737100 51610105650 103220211300