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122067070053 = 3438347923801
BaseRepresentation
bin111000110101111000…
…0111010110001100101
3102200002001201122112120
41301223300322301211
53444443132220203
6132024332540153
711550635655465
oct1615360726145
9380061648476
10122067070053
114784a751485
121b7a8021659
13b684515746
145c9da9dba5
1532966b5b53
hex1c6bc3ac65

122067070053 has 32 divisors (see below), whose sum is σ = 168906608640. Its totient is φ = 78360643200.

The previous prime is 122067070043. The next prime is 122067070061. The reversal of 122067070053 is 350070760221.

It is not a de Polignac number, because 122067070053 - 212 = 122067065957 is a prime.

It is a super-3 number, since 3×1220670700533 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122067069996 and 122067070023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122067070033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5116753 + ... + 5140553.

It is an arithmetic number, because the mean of its divisors is an integer number (5278331520).

Almost surely, 2122067070053 is an apocalyptic number.

It is an amenable number.

122067070053 is a deficient number, since it is larger than the sum of its proper divisors (46839538587).

122067070053 is a wasteful number, since it uses less digits than its factorization.

122067070053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24409.

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 122067070053 in words is "one hundred twenty-two billion, sixty-seven million, seventy thousand, fifty-three".

Divisors: 1 3 43 83 129 249 479 1437 3569 10707 20597 23801 39757 61791 71403 119271 1023443 1709551 1975483 3070329 5128653 5926449 11400679 34202037 84945769 254837307 490229197 946256357 1470687591 2838769071 40689023351 122067070053