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103222011300 = 223522931382729
BaseRepresentation
bin110000000100010000…
…0101110010110100100
3100212102201102110211120
41200020200232112210
53142344313330200
6115230341533540
710312636422312
oct1401040562644
9325381373746
10103222011300
113a85a152961
1218008a142b0
1399701b6cc5
144dd2d390b2
152a420349a0
hex180882e5a4

103222011300 has 144 divisors (see below), whose sum is σ = 318921254400. Its totient is φ = 25719321600.

The previous prime is 103222011283. The next prime is 103222011301. The reversal of 103222011300 is 3110222301.

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 103222011300.

It is not an unprimeable number, because it can be changed into a prime (103222011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78336 + ... + 461064.

Almost surely, 2103222011300 is an apocalyptic number.

103222011300 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 103222011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159460627200).

103222011300 is an abundant number, since it is smaller than the sum of its proper divisors (215699243100).

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

103222011300 is a wasteful number, since it uses less digits than its factorization.

103222011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382806 (or 382799 counting only the distinct ones).

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

Adding to 103222011300 its reverse (3110222301), we get a palindrome (106332233601).

The spelling of 103222011300 in words is "one hundred three billion, two hundred twenty-two million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 31 50 58 60 62 75 87 93 100 116 124 145 150 155 174 186 290 300 310 348 372 435 465 580 620 725 775 870 899 930 1450 1550 1740 1798 1860 2175 2325 2697 2900 3100 3596 4350 4495 4650 5394 8700 8990 9300 10788 13485 17980 22475 26970 44950 53940 67425 89900 134850 269700 382729 765458 1148187 1530916 1913645 2296374 3827290 4592748 5740935 7654580 9568225 11099141 11481870 11864599 19136450 22198282 22963740 23729198 28704675 33297423 35593797 38272900 44396564 47458396 55495705 57409350 59322995 66594846 71187594 110991410 114818700 118645990 133189692 142375188 166487115 177968985 221982820 237291980 277478525 296614975 332974230 344073371 355937970 554957050 593229950 665948460 688146742 711875940 832435575 889844925 1032220113 1109914100 1186459900 1376293484 1664871150 1720366855 1779689850 2064440226 3329742300 3440733710 3559379700 4128880452 5161100565 6881467420 8601834275 10322201130 17203668550 20644402260 25805502825 34407337100 51611005650 103222011300