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103012012032 = 212365912721
BaseRepresentation
bin101111111101111111…
…1101001000000000000
3100211220002021101222220
41133323333221000000
53141432033341112
6115153440531040
710304506440456
oct1377377510000
9324802241886
10103012012032
113a761660346
1217b6a620a80
13993883b597
144db30b29d6
152a2d8a298c
hex17fbfe9000

103012012032 has 104 divisors (see below), whose sum is σ = 275103581280. Its totient is φ = 34282536960.

The previous prime is 103012012031. The next prime is 103012012099. The reversal of 103012012032 is 230210210301.

It is a super-2 number, since 2×1030120120322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103012012031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8091432 + ... + 8104152.

Almost surely, 2103012012032 is an apocalyptic number.

103012012032 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 103012012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137551790640).

103012012032 is an abundant number, since it is smaller than the sum of its proper divisors (172091569248).

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

103012012032 is an equidigital number, since it uses as much as digits as its factorization.

103012012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103012012032 its reverse (230210210301), we get a palindrome (333222222333).

The spelling of 103012012032 in words is "one hundred three billion, twelve million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 659 768 1024 1318 1536 1977 2048 2636 3072 3954 4096 5272 6144 7908 10544 12288 12721 15816 21088 25442 31632 38163 42176 50884 63264 76326 84352 101768 126528 152652 168704 203536 253056 305304 337408 407072 506112 610608 674816 814144 1012224 1221216 1349632 1628288 2024448 2442432 2699264 3256576 4048896 4884864 6513152 8097792 8383139 9769728 13026304 16766278 19539456 25149417 26052608 33532556 39078912 50298834 52105216 67065112 78157824 100597668 134130224 156315648 201195336 268260448 402390672 536520896 804781344 1073041792 1609562688 2146083584 3219125376 4292167168 6438250752 8584334336 12876501504 17168668672 25753003008 34337337344 51506006016 103012012032