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103221342400 = 2652115864849
BaseRepresentation
bin110000000100001111…
…0001011000011000000
3100212102200011111021111
41200020132023003000
53142344130424100
6115230315333104
710312630635211
oct1401036130300
9325380144244
10103221342400
113a859836350
1218008751194
1399700116c7
144dd2c03408
152a41e516ba
hex180878b0c0

103221342400 has 84 divisors (see below), whose sum is σ = 277078973400. Its totient is φ = 37535027200.

The previous prime is 103221342377. The next prime is 103221342451. The reversal of 103221342400 is 4243122301.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2914825 + ... + 2950024.

Almost surely, 2103221342400 is an apocalyptic number.

103221342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103221342400 is an abundant number, since it is smaller than the sum of its proper divisors (173857631000).

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

103221342400 is a wasteful number, since it uses less digits than its factorization.

103221342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864882 (or 5864867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103221342400 its reverse (4243122301), we get a palindrome (107464464701).

The spelling of 103221342400 in words is "one hundred three billion, two hundred twenty-one million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 5864849 11729698 23459396 29324245 46918792 58648490 64513339 93837584 117296980 129026678 146621225 187675168 234593960 258053356 293242450 322566695 375350336 469187920 516106712 586484900 645133390 938375840 1032213424 1172969800 1290266780 1612833475 1876751680 2064426848 2345939600 2580533560 3225666950 4128853696 4691879200 5161067120 6451333900 9383758400 10322134240 12902667800 20644268480 25805335600 51610671200 103221342400