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101000202212 = 22713308390001
BaseRepresentation
bin101111000010000010…
…1001100011111100100
3100122200212200212202002
41132010011030133210
53123322022432322
6114222052504432
710203610360640
oct1360405143744
9318625625662
10101000202212
1139919a878a8
12176a891b118
1396a7aba980
144c61c21c20
152961e5ac92
hex178414c7e4

101000202212 has 48 divisors (see below), whose sum is σ = 217611875712. Its totient is φ = 39942720000.

The previous prime is 101000202169. The next prime is 101000202217. The reversal of 101000202212 is 212202000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101000202193 and 101000202202.

It is not an unprimeable number, because it can be changed into a prime (101000202217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077212 + ... + 1167212.

It is an arithmetic number, because the mean of its divisors is an integer number (4533580744).

Almost surely, 2101000202212 is an apocalyptic number.

It is an amenable number.

101000202212 is an abundant number, since it is smaller than the sum of its proper divisors (116611673500).

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

101000202212 is a wasteful number, since it uses less digits than its factorization.

101000202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93108 (or 93106 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101000202212 its reverse (212202000101), we get a palindrome (313202202313).

The spelling of 101000202212 in words is "one hundred one billion, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 3083 6166 12332 21581 40079 43162 80158 86324 90001 160316 180002 280553 360004 561106 630007 1122212 1170013 1260014 2340026 2520028 4680052 8190091 16380182 32760364 277473083 554946166 1109892332 1942311581 3607150079 3884623162 7214300158 7769246324 14428600316 25250050553 50500101106 101000202212