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123132032023 = 711133113928547
BaseRepresentation
bin111001010101100111…
…1011011010000010111
3102202211021122022201111
41302223033123100113
54004133300011043
6132322134435451
711616220001050
oct1625317332027
9382737568644
10123132032023
1148246905140
121ba44802b87
13b7c4049260
145d612bb727
153309e2a09d
hex1cab3db417

123132032023 has 64 divisors (see below), whose sum is σ = 171890933760. Its totient is φ = 85089916800.

The previous prime is 123132031969. The next prime is 123132032033. The reversal of 123132032023 is 320230231321.

It is not a de Polignac number, because 123132032023 - 221 = 123129934871 is a prime.

It is a super-2 number, since 2×1231320320232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123132031985 and 123132032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132032033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4299036 + ... + 4327582.

It is an arithmetic number, because the mean of its divisors is an integer number (2685795840).

Almost surely, 2123132032023 is an apocalyptic number.

123132032023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123132032023 is a deficient number, since it is larger than the sum of its proper divisors (48758901737).

123132032023 is a wasteful number, since it uses less digits than its factorization.

123132032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28748.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123132032023 its reverse (320230231321), we get a palindrome (443362263344).

The spelling of 123132032023 in words is "one hundred twenty-three billion, one hundred thirty-two million, thirty-two thousand, twenty-three".

Divisors: 1 7 11 13 31 77 91 139 143 217 341 403 973 1001 1529 1807 2387 2821 4309 4433 10703 12649 19877 28547 30163 31031 47399 56017 139139 199829 314017 331793 371111 392119 616187 884957 2198119 2597777 3968033 4082221 4313309 6194699 9734527 11504441 27776231 28575547 43648363 51584429 68141689 80531087 123009023 126548851 305538541 361091003 567428719 861063161 885841957 1353099253 1599117299 3972001033 9471694771 11193821093 17590290289 123132032023