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123101001020032 = 277725318942439
BaseRepresentation
bin11011111111010110101111…
…011011111111001010000000
3121010212100012102021201222021
4123333112233123333022000
5112113341322230120112
61113451452534451224
734633516364016430
oct3377265733771200
9533770172251867
10123101001020032
1136250928926172
1211981970203b14
13538c4b3c72849
142258197d1c2c0
15e37215e17907
hex6ff5af6ff280

123101001020032 has 64 divisors (see below), whose sum is σ = 280313257910400. Its totient is φ = 52750295184384.

The previous prime is 123101001019991. The next prime is 123101001020047. The reversal of 123101001020032 is 230020100101321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 123101001019988 and 123101001020015.

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, 2972532 + ... + 15969907.

It is an arithmetic number, because the mean of its divisors is an integer number (4379894654850).

Almost surely, 2123101001020032 is an apocalyptic number.

It is an amenable number.

123101001020032 is an abundant number, since it is smaller than the sum of its proper divisors (157212256890368).

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

123101001020032 is an equidigital number, since it uses as much as digits as its factorization.

123101001020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18949713 (or 18949701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123101001020032 its reverse (230020100101321), we get a palindrome (353121101121353).

The spelling of 123101001020032 in words is "one hundred twenty-three trillion, one hundred one billion, one million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 7253 14506 29012 50771 58024 101542 116048 203084 232096 406168 464192 812336 928384 1624672 3249344 6498688 18942439 37884878 75769756 132597073 151539512 265194146 303079024 530388292 606158048 1060776584 1212316096 2121553168 2424632192 4243106336 8486212672 16972425344 137389510067 274779020134 549558040268 961726570469 1099116080536 1923453140938 2198232161072 3846906281876 4396464322144 7693812563752 8792928644288 15387625127504 17585857288576 30775250255008 61550500510016 123101001020032