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103032213312 = 2637431782811
BaseRepresentation
bin101111111110100110…
…0101100111101000000
3100211221111021201221110
41133331030230331000
53142002221311222
6115155441523320
710305143235360
oct1377514547500
9324844251843
10103032213312
113a771aa8916
1217b75343540
13993ca924c2
144db5a509a0
152a3054330c
hex17fd32cf40

103032213312 has 112 divisors (see below), whose sum is σ = 318795310592. Its totient is φ = 28753159680.

The previous prime is 103032213307. The next prime is 103032213313. The reversal of 103032213312 is 213312230301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032213313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833614 + ... + 949197.

Almost surely, 2103032213312 is an apocalyptic number.

103032213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103032213312 is an abundant number, since it is smaller than the sum of its proper divisors (215763097280).

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

103032213312 is a wasteful number, since it uses less digits than its factorization.

103032213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782876 (or 1782866 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103032213312 its reverse (213312230301), we get a palindrome (316344443613).

The spelling of 103032213312 in words is "one hundred three billion, thirty-two million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 19264 28896 57792 1782811 3565622 5348433 7131244 10696866 12479677 14262488 21393732 24959354 28524976 37439031 42787464 49918708 57049952 74878062 76660873 85574928 99837416 114099904 149756124 153321746 171149856 199674832 229982619 299512248 306643492 342299712 399349664 459965238 536626111 599024496 613286984 798699328 919930476 1073252222 1198048992 1226573968 1609878333 1839860952 2146504444 2396097984 2453147936 3219756666 3679721904 4293008888 4906295872 6439513332 7359443808 8586017776 12879026664 14718887616 17172035552 25758053328 34344071104 51516106656 103032213312