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103333202112 = 2637160148023
BaseRepresentation
bin110000000111100100…
…0111000100011000000
3100212201110122112221210
41200033020320203000
53143111244431422
6115245353050120
710315456503630
oct1401710704300
9325643575853
10103333202112
113a906998198
121803a0b6940
13998a24839a
145003a006c0
152a4bb9a10c
hex180f2388c0

103333202112 has 112 divisors (see below), whose sum is σ = 312661596672. Its totient is φ = 29504716800.

The previous prime is 103333202107. The next prime is 103333202113. The reversal of 103333202112 is 211202333301.

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 not an unprimeable number, because it can be changed into a prime (103333202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2127733 + ... + 2175755.

Almost surely, 2103333202112 is an apocalyptic number.

103333202112 is a gapful number since it is divisible by the number (12) 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 103333202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156330798336).

103333202112 is an abundant number, since it is smaller than the sum of its proper divisors (209328394560).

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

103333202112 is a wasteful number, since it uses less digits than its factorization.

103333202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49646 (or 49636 counting only the distinct ones).

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

Adding to 103333202112 its reverse (211202333301), we get a palindrome (314535535413).

The spelling of 103333202112 in words is "one hundred three billion, three hundred thirty-three million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1601 3202 4803 6404 9606 11207 12808 19212 22414 25616 33621 38424 44828 48023 51232 67242 76848 89656 96046 102464 134484 144069 153696 179312 192092 268968 288138 307392 336161 358624 384184 537936 576276 672322 717248 768368 1008483 1075872 1152552 1344644 1536736 2016966 2151744 2305104 2689288 3073472 4033932 4610208 5378576 8067864 9220416 10757152 16135728 21514304 32271456 64542912 76884823 153769646 230654469 307539292 461308938 538193761 615078584 922617876 1076387522 1230157168 1614581283 1845235752 2152775044 2460314336 3229162566 3690471504 4305550088 4920628672 6458325132 7380943008 8611100176 12916650264 14761886016 17222200352 25833300528 34444400704 51666601056 103333202112