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122000320 = 2651329327
BaseRepresentation
bin1110100010110…
…01001111000000
322111120020222101
413101121033000
5222213002240
620034520144
73010662031
oct721311700
9274506871
10122000320
1162958712
1234a36054
131c377550
14122baa88
15aa9d39a
hex74593c0

122000320 has 56 divisors (see below), whose sum is σ = 312871104. Its totient is φ = 45044736.

The previous prime is 122000317. The next prime is 122000341. The reversal of 122000320 is 23000221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122000297 and 122000306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10504 + ... + 18823.

It is an arithmetic number, because the mean of its divisors is an integer number (5586984).

Almost surely, 2122000320 is an apocalyptic number.

122000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000320 is an abundant number, since it is smaller than the sum of its proper divisors (190870784).

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

122000320 is a wasteful number, since it uses less digits than its factorization.

122000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29357 (or 29347 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 122000320 is about 11045.3755028971. The cubic root of 122000320 is about 495.9680000167.

Adding to 122000320 its reverse (23000221), we get a palindrome (145000541).

Subtracting from 122000320 its reverse (23000221), we obtain a palindrome (99000099).

The spelling of 122000320 in words is "one hundred twenty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 29327 58654 117308 146635 234616 293270 381251 469232 586540 762502 938464 1173080 1525004 1876928 1906255 2346160 3050008 3812510 4692320 6100016 7625020 9384640 12200032 15250040 24400064 30500080 61000160 122000320