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122632020471 = 31723538812239
BaseRepresentation
bin111001000110101110…
…0000010000111110111
3102201112102210002211010
41302031130002013313
54002122244123341
6132200353443303
711600635655322
oct1621534020767
9381472702733
10122632020471
114800a640054
121b925270533
13b74458bb2c
145d14b217b9
1532cb0ad716
hex1c8d7021f7

122632020471 has 64 divisors (see below), whose sum is σ = 184354652160. Its totient is φ = 72097259520.

The previous prime is 122632020457. The next prime is 122632020541. The reversal of 122632020471 is 174020236221.

It is not a de Polignac number, because 122632020471 - 211 = 122632018423 is a prime.

It is a super-3 number, since 3×1226320204713 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122632020571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54769770 + ... + 54772008.

It is an arithmetic number, because the mean of its divisors is an integer number (2880541440).

Almost surely, 2122632020471 is an apocalyptic number.

122632020471 is a deficient number, since it is larger than the sum of its proper divisors (61722631689).

122632020471 is a wasteful number, since it uses less digits than its factorization.

122632020471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216.

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 122632020471 its reverse (174020236221), we get a palindrome (296652256692).

The spelling of 122632020471 in words is "one hundred twenty-two billion, six hundred thirty-two million, twenty thousand, four hundred seventy-one".

Divisors: 1 3 17 23 51 53 69 159 391 881 901 1173 1219 2239 2643 2703 3657 6717 14977 20263 20723 38063 44931 46693 51497 60789 62169 114189 118667 140079 154491 344471 356001 793781 875449 1033413 1073939 1972559 2017339 2381343 2626347 2729341 3221817 5917677 6052017 8188023 18256963 33533503 45368857 46398797 54770889 100600509 104545627 136106571 139196391 313636881 771270569 1777275659 2313811707 2404549421 5331826977 7213648263 40877340157 122632020471