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103222131200 = 295213161559
BaseRepresentation
bin110000000100010000…
…1001011101000000000
3100212102201122120022022
41200020201023220000
53142344331144300
6115230344301012
710312640432006
oct1401041135000
9325381576268
10103222131200
113a85a224a51
1218008a71768
139970229756
144dd2d6aa76
152a4205a285
hex180884ba00

103222131200 has 120 divisors (see below), whose sum is σ = 257697300960. Its totient is φ = 40973004800.

The previous prime is 103222131191. The next prime is 103222131217. The reversal of 103222131200 is 2131222301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1646021 + ... + 1707579.

It is an arithmetic number, because the mean of its divisors is an integer number (2147477508).

Almost surely, 2103222131200 is an apocalyptic number.

103222131200 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 103222131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128848650480).

103222131200 is an abundant number, since it is smaller than the sum of its proper divisors (154475169760).

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

103222131200 is an equidigital number, since it uses as much as digits as its factorization.

103222131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61718 (or 61697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103222131200 its reverse (2131222301), we get a palindrome (105353353501).

The spelling of 103222131200 in words is "one hundred three billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 131 160 200 256 262 320 400 512 524 640 655 800 1048 1280 1310 1600 2096 2560 2620 3200 3275 4192 5240 6400 6550 8384 10480 12800 13100 16768 20960 26200 33536 41920 52400 61559 67072 83840 104800 123118 167680 209600 246236 307795 335360 419200 492472 615590 838400 984944 1231180 1538975 1676800 1969888 2462360 3077950 3939776 4924720 6155900 7879552 8064229 9849440 12311800 15759104 16128458 19698880 24623600 31518208 32256916 39397760 40321145 49247200 64513832 78795520 80642290 98494400 129027664 157591040 161284580 196988800 201605725 258055328 322569160 393977600 403211450 516110656 645138320 787955200 806422900 1032221312 1290276640 1612845800 2064442624 2580553280 3225691600 4128885248 5161106560 6451383200 10322213120 12902766400 20644426240 25805532800 51611065600 103222131200