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122150032020 = 22335773292631
BaseRepresentation
bin111000111000010110…
…1011001001010010100
3102200021211211112222000
41301300231121022110
54000130402011040
6132040455035300
711552664066222
oct1616055311224
9380254745860
10122150032020
1147892565a95
121b80b96bb30
13b698772073
145caaad7b12
15329db02130
hex1c70b59294

122150032020 has 96 divisors (see below), whose sum is σ = 380515242240. Its totient is φ = 32531091840.

The previous prime is 122150032019. The next prime is 122150032031. The reversal of 122150032020 is 20230051221.

122150032020 is a `hidden beast` number, since 122 + 1 + 500 + 3 + 20 + 20 = 666.

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 = 122150031984 and 122150032002.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 271105 + ... + 563735.

It is an arithmetic number, because the mean of its divisors is an integer number (3963700440).

Almost surely, 2122150032020 is an apocalyptic number.

122150032020 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 122150032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190257621120).

122150032020 is an abundant number, since it is smaller than the sum of its proper divisors (258365210220).

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

122150032020 is a wasteful number, since it uses less digits than its factorization.

122150032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293422 (or 293414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 122150032020 its reverse (20230051221), we get a palindrome (142380083241).

The spelling of 122150032020 in words is "one hundred twenty-two billion, one hundred fifty million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 773 1546 2319 3092 3865 4638 6957 7730 9276 11595 13914 15460 20871 23190 27828 34785 41742 46380 69570 83484 104355 139140 208710 292631 417420 585262 877893 1170524 1463155 1755786 2633679 2926310 3511572 4389465 5267358 5852620 7901037 8778930 10534716 13168395 15802074 17557860 26336790 31604148 39505185 52673580 79010370 158020740 226203763 452407526 678611289 904815052 1131018815 1357222578 2035833867 2262037630 2714445156 3393056445 4071667734 4524075260 6107501601 6786112890 8143335468 10179169335 12215003202 13572225780 20358338670 24430006404 30537508005 40716677340 61075016010 122150032020