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103212034413224 = 231121012539415787
BaseRepresentation
bin10111011101111011101100…
…101001011101001010101000
3111112102222022010202000122112
4113131323230221131022220
5102012011221302210344
61003302542023341452
730511552300156232
oct2735735451351250
9445388263660575
10103212034413224
112a982a8376a900
12b6ab2255b1888
134578b122b8489
141b6b6bc205252
15bdebadc54c9e
hex5ddeeca5d2a8

103212034413224 has 96 divisors (see below), whose sum is σ = 214906098304800. Its totient is φ = 46431654192000.

The previous prime is 103212034413197. The next prime is 103212034413289. The reversal of 103212034413224 is 422314430212301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248025059 + ... + 248440845.

It is an arithmetic number, because the mean of its divisors is an integer number (2238605190675).

Almost surely, 2103212034413224 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 103212034413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107453049152400).

103212034413224 is an abundant number, since it is smaller than the sum of its proper divisors (111694063891576).

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

103212034413224 is a wasteful number, since it uses less digits than its factorization.

103212034413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418455 (or 418440 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 103212034413224 its reverse (422314430212301), we get a palindrome (525526464625525).

The spelling of 103212034413224 in words is "one hundred three trillion, two hundred twelve billion, thirty-four million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 2539 4444 5078 8888 10156 12221 20312 24442 27929 48884 55858 97768 111716 223432 256439 307219 415787 512878 614438 831574 1025756 1228876 1663148 2051512 2457752 2820829 3326296 4573657 5641658 9147314 11283316 18294628 22566632 31029119 36589256 41994487 50310227 62058238 83988974 100620454 124116476 167977948 201240908 248232952 335955896 402481816 461939357 923878714 1055683193 1847757428 2111366386 3695514856 4222732772 5081332927 8445465544 10162665854 11612515123 20325331708 23225030246 40650663416 46450060492 92900120984 106624002493 127737666353 213248004986 255475332706 426496009972 510950665412 852992019944 1021901330824 1172864027423 2345728054846 4691456109692 9382912219384 12901504301653 25803008603306 51606017206612 103212034413224