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100320312212 = 22172581314929
BaseRepresentation
bin101110101101110001…
…1100111101110010100
3100120221111100212222222
41131123203213232110
53120423444442322
6114030404241512
710151013404231
oct1353343475624
9316844325888
10100320312212
113960022343a
12175390a0298
1395c9c9cab3
144bd9800788
15292240be42
hex175b8e7b94

100320312212 has 36 divisors (see below), whose sum is σ = 186539689980. Its totient is φ = 47198275584.

The previous prime is 100320312199. The next prime is 100320312217. The reversal of 100320312212 is 212213023001.

It can be written as a sum of positive squares in 6 ways, for example, as 31867962256 + 68452349956 = 178516^2 + 261634^2 .

It is a super-3 number, since 3×1003203122123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320312217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6712364 + ... + 6727292.

It is an arithmetic number, because the mean of its divisors is an integer number (5181658055).

Almost surely, 2100320312212 is an apocalyptic number.

It is an amenable number.

100320312212 is a deficient number, since it is larger than the sum of its proper divisors (86219377768).

100320312212 is a wasteful number, since it uses less digits than its factorization.

100320312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20780 (or 20761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100320312212 its reverse (212213023001), we get a palindrome (312533335213).

The spelling of 100320312212 in words is "one hundred billion, three hundred twenty million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 17 34 68 289 578 1156 5813 11626 14929 23252 29858 59716 98821 197642 253793 395284 507586 1015172 1679957 3359914 4314481 6719828 8628962 17257924 86782277 173564554 347129108 1475298709 2950597418 5901194836 25080078053 50160156106 100320312212