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101022000012 = 2233935388889
BaseRepresentation
bin101111000010101100…
…0010110001110001100
3100122202101201022201000
41132011120112032030
53123343113000022
6114224152020300
710204263555243
oct1360530261614
9318671638630
10101022000012
113993031590a
12176b4091690
1396ac48048b
144c64a9795a
152963d146ac
hex178561638c

101022000012 has 24 divisors (see below), whose sum is σ = 261908889200. Its totient is φ = 33673999968.

The previous prime is 101021999879. The next prime is 101022000017. The reversal of 101022000012 is 210000220101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101021999958 and 101022000003.

It is not an unprimeable number, because it can be changed into a prime (101022000017) 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 7 ways as a sum of consecutive naturals, for example, 467694337 + ... + 467694552.

Almost surely, 2101022000012 is an apocalyptic number.

101022000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022000012 is an abundant number, since it is smaller than the sum of its proper divisors (160886889188).

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

101022000012 is a wasteful number, since it uses less digits than its factorization.

101022000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935388902 (or 935388894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101022000012 its reverse (210000220101), we get a palindrome (311022220113).

The spelling of 101022000012 in words is "one hundred one billion, twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 935388889 1870777778 2806166667 3741555556 5612333334 8418500001 11224666668 16837000002 25255500003 33674000004 50511000006 101022000012