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122308020 = 223252331953
BaseRepresentation
bin1110100101001…
…00010110110100
322112010220001200
413102210112310
5222302324040
620045252500
73013413102
oct722442664
9275126050
10122308020
116304890a
1234b64130
131c454613
141235ac72
15ab0e630
hex74a45b4

122308020 has 144 divisors (see below), whose sum is σ = 400038912. Its totient is φ = 30159360.

The previous prime is 122308009. The next prime is 122308027. The reversal of 122308020 is 20803221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122307984 and 122308002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122308027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127864 + ... + 128816.

It is an arithmetic number, because the mean of its divisors is an integer number (2778048).

Almost surely, 2122308020 is an apocalyptic number.

122308020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122308020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200019456).

122308020 is an abundant number, since it is smaller than the sum of its proper divisors (277730892).

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

122308020 is a wasteful number, since it uses less digits than its factorization.

122308020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122308020 is about 11059.2956376073. The cubic root of 122308020 is about 496.3846143150.

It can be divided in two parts, 12 and 2308020, that added together give a palindrome (2308032).

The spelling of 122308020 in words is "one hundred twenty-two million, three hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 953 1035 1116 1380 1395 1426 1860 1906 2070 2139 2790 2852 2859 3565 3812 4140 4278 4765 5580 5718 6417 7130 8556 8577 9530 10695 11436 12834 14260 14295 17154 19060 21390 21919 25668 28590 29543 32085 34308 42780 42885 43838 57180 59086 64170 65757 85770 87676 88629 109595 118172 128340 131514 147715 171540 177258 197271 219190 263028 265887 295430 328785 354516 394542 438380 443145 531774 590860 657570 679489 789084 886290 986355 1063548 1315140 1329435 1358978 1772580 1972710 2038467 2658870 2717956 3397445 3945420 4076934 5317740 6115401 6794890 8153868 10192335 12230802 13589780 20384670 24461604 30577005 40769340 61154010 122308020