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103133132320 = 2551167755201
BaseRepresentation
bin110000000001100110…
…1101011011000100000
3100212012112011221210111
41200003031223120200
53142204040213240
6115213444541104
710310510106031
oct1400315533040
9325175157714
10103133132320
113a813a67859
1217ba30b1794
1399579683aa
144dc5200a88
152a3932a1ea
hex180336b620

103133132320 has 48 divisors (see below), whose sum is σ = 243677305368. Its totient is φ = 41248972800.

The previous prime is 103133132309. The next prime is 103133132329. The reversal of 103133132320 is 23231331301.

It can be written as a sum of positive squares in 4 ways, for example, as 72928082704 + 30205049616 = 270052^2 + 173796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103133132291 and 103133132300.

It is not an unprimeable number, because it can be changed into a prime (103133132329) 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, 1840720 + ... + 1895920.

Almost surely, 2103133132320 is an apocalyptic number.

103133132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103133132320 is an abundant number, since it is smaller than the sum of its proper divisors (140544173048).

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

103133132320 is a wasteful number, since it uses less digits than its factorization.

103133132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66893 (or 66885 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103133132320 its reverse (23231331301), we get a palindrome (126364463621).

The spelling of 103133132320 in words is "one hundred three billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 11677 23354 46708 55201 58385 93416 110402 116770 186832 220804 233540 276005 373664 441608 467080 552010 883216 934160 1104020 1766432 1868320 2208040 4416080 8832160 644582077 1289164154 2578328308 3222910385 5156656616 6445820770 10313313232 12891641540 20626626464 25783283080 51566566160 103133132320