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122033011100320 = 2555427971405141
BaseRepresentation
bin11011101111110100000110…
…010001110000101010100000
3121000002020112100211112101201
4123233310012101300222200
5111443342101320202240
61111313105200210544
734463410530335215
oct3357640621605240
9530066470745351
10122033011100320
1135979a00410291
121182a994609a54
135312881b25ca8
14221c601c1db0c
15e1955a794d9a
hex6efd06470aa0

122033011100320 has 48 divisors (see below), whose sum is σ = 288303725045448. Its totient is φ = 48813079772160.

The previous prime is 122033011100317. The next prime is 122033011100369. The reversal of 122033011100320 is 23001110330221.

It can be written as a sum of positive squares in 4 ways, for example, as 74232767832336 + 47800243267984 = 8615844^2 + 6913772^2 .

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, 86144950 + ... + 87550090.

Almost surely, 2122033011100320 is an apocalyptic number.

122033011100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122033011100320 is an abundant number, since it is smaller than the sum of its proper divisors (166270713945128).

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

122033011100320 is a wasteful number, since it uses less digits than its factorization.

122033011100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947953 (or 1947945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122033011100320 its reverse (23001110330221), we get a palindrome (145034121430541).

The spelling of 122033011100320 in words is "one hundred twenty-two trillion, thirty-three billion, eleven million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 542797 1085594 1405141 2171188 2713985 2810282 4342376 5427970 5620564 7025705 8684752 10855940 11241128 14051410 17369504 21711880 22482256 28102820 43423760 44964512 56205640 86847520 112411280 224822560 762706319377 1525412638754 3050825277508 3813531596885 6101650555016 7627063193770 12203301110032 15254126387540 24406602220064 30508252775080 61016505550160 122033011100320