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132122112230310 = 23543104717978067
BaseRepresentation
bin11110000010101000010011…
…100100010000001110100110
3122022210202021011120011111120
4132002220103210100032212
5114304142041212332220
61145000021015514410
736554336052065016
oct3602502344201646
9568722234504446
10132122112230310
1139109744a35014
121299a198088a06
1358950a57b4527
14248aa5c705c46
151041becbaca40
hex782a139103a6

132122112230310 has 64 divisors (see below), whose sum is σ = 324470757042432. Its totient is φ = 34412837510016.

The previous prime is 132122112230309. The next prime is 132122112230371. The reversal of 132122112230310 is 13032211221231.

It is a super-2 number, since 2×1321221122303102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 134595897 + ... + 135573963.

It is an arithmetic number, because the mean of its divisors is an integer number (5069855578788).

Almost surely, 2132122112230310 is an apocalyptic number.

132122112230310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132122112230310 is an abundant number, since it is smaller than the sum of its proper divisors (192348644812122).

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

132122112230310 is a wasteful number, since it uses less digits than its factorization.

132122112230310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082837.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132122112230310 its reverse (13032211221231), we get a palindrome (145154323451541).

The spelling of 132122112230310 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 104717 209434 314151 523585 628302 978067 1047170 1570755 1956134 2934201 3141510 4502831 4890335 5868402 9005662 9780670 13508493 14671005 22514155 27016986 29342010 42056881 45028310 67542465 84113762 126170643 135084930 210284405 252341286 420568810 630853215 1261706430 102420242039 204840484078 307260726117 512101210195 614521452234 1024202420390 1536303630585 3072607261170 4404070407677 8808140815354 13212211223031 22020352038385 26424422446062 44040704076770 66061056115155 132122112230310