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101312020212 = 223132328236349
BaseRepresentation
bin101111001011010101…
…0101011111011110100
3100200111121102212121220
41132112222223323310
53124441334121322
6114313032110340
710214414651214
oct1362652537364
9320447385556
10101312020212
1139a69aa3327
12177752353b0
139727595970
144c913d0244
15297e50155c
hex1796aabef4

101312020212 has 48 divisors (see below), whose sum is σ = 265647580800. Its totient is φ = 29817583488.

The previous prime is 101312020177. The next prime is 101312020237. The reversal of 101312020212 is 212020213101.

It is a junction number, because it is equal to n+sod(n) for n = 101312020191 and 101312020200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14114587 + ... + 14121762.

It is an arithmetic number, because the mean of its divisors is an integer number (5534324600).

Almost surely, 2101312020212 is an apocalyptic number.

101312020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101312020212 is an abundant number, since it is smaller than the sum of its proper divisors (164335560588).

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

101312020212 is a wasteful number, since it uses less digits than its factorization.

101312020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28236392 (or 28236390 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101312020212 its reverse (212020213101), we get a palindrome (313332233313).

The spelling of 101312020212 in words is "one hundred one billion, three hundred twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 28236349 56472698 84709047 112945396 169418094 338836188 367072537 649436027 734145074 1101217611 1298872054 1468290148 1948308081 2202435222 2597744108 3896616162 4404870444 7793232324 8442668351 16885336702 25328005053 33770673404 50656010106 101312020212