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101021002212 = 223131076052061
BaseRepresentation
bin101111000010101010…
…0100010100111100100
3100122202022211121222110
41132011110202213210
53123342334032322
6114224114401020
710204252231224
oct1360524424744
9318668747873
10101021002212
113992a7a4189
12176b3890170
1396ac1c1270
144c648b8084
152963bb8c0c
hex17855229e4

101021002212 has 48 divisors (see below), whose sum is σ = 256220096832. Its totient is φ = 30792881280.

The previous prime is 101021002211. The next prime is 101021002223. The reversal of 101021002212 is 212200120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101021002211) 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, 3009339 + ... + 3042722.

It is an arithmetic number, because the mean of its divisors is an integer number (5337918684).

Almost surely, 2101021002212 is an apocalyptic number.

101021002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021002212 is an abundant number, since it is smaller than the sum of its proper divisors (155199094620).

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

101021002212 is a wasteful number, since it uses less digits than its factorization.

101021002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052188 (or 6052186 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101021002212 its reverse (212200120101), we get a palindrome (313221122313).

The spelling of 101021002212 in words is "one hundred one billion, twenty-one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 16692 6052061 12104122 18156183 24208244 36312366 72624732 78676793 157353586 236030379 314707172 472060758 647570527 944121516 1295141054 1942711581 2590282108 3885423162 7770846324 8418416851 16836833702 25255250553 33673667404 50510501106 101021002212