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103374226208 = 2511251672
BaseRepresentation
bin110000001000110010…
…1011000001100100000
3100212211022211210102202
41200101211120030200
53143202300214313
6115253420232332
710316465265461
oct1402145301440
9325738753382
10103374226208
113a928068200
121804b99b6a8
1399958b00b6
14500923cd68
152a505a0558
hex1811958320

103374226208 has 54 divisors (see below), whose sum is σ = 223744914603. Its totient is φ = 46979190720.

The previous prime is 103374226201. The next prime is 103374226213. The reversal of 103374226208 is 802622473301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 51687113104 + 51687113104 = 227348^2 + 227348^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=227348.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103374226201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20004041 + ... + 20009207.

Almost surely, 2103374226208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103374226208

103374226208 is an abundant number, since it is smaller than the sum of its proper divisors (120370688395).

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

103374226208 is an frugal number, since it uses more digits than its factorization.

103374226208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

Adding to 103374226208 its reverse (802622473301), we get a palindrome (905996699509).

The spelling of 103374226208 in words is "one hundred three billion, three hundred seventy-four million, two hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5167 10334 20668 41336 56837 82672 113674 165344 227348 454696 625207 909392 1250414 1818784 2500828 5001656 10003312 20006624 26697889 53395778 106791556 213583112 293676779 427166224 587353558 854332448 1174707116 2349414232 3230444569 4698828464 6460889138 9397656928 12921778276 25843556552 51687113104 103374226208