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15132133123151 = 11210312724373923
BaseRepresentation
bin1101110000110011100101…
…1010110110010001001111
31222120121200101010111201112
43130030321122312101033
53440411102034420101
652103334521002235
73121155236204642
oct334147132662117
958517611114645
1015132133123151
114904557721700
12184486092337b
13859c5300b855
143a45833ada59
151b394c8d46bb
hexdc3396b644f

15132133123151 has 48 divisors (see below), whose sum is σ = 16937825329152. Its totient is φ = 13506669570240.

The previous prime is 15132133123031. The next prime is 15132133123153.

It is a happy number.

15132133123151 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 15132133123151 - 230 = 15131059381327 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15132133123153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3857284076 + ... + 3857287998.

It is an arithmetic number, because the mean of its divisors is an integer number (352871361024).

Almost surely, 215132133123151 is an apocalyptic number.

15132133123151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15132133123151 is a deficient number, since it is larger than the sum of its proper divisors (1805692206001).

15132133123151 is a wasteful number, since it uses less digits than its factorization.

15132133123151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6601 counting only the distinct ones).

The product of its digits is 8100, while the sum is 32.

It can be divided in two parts, 1513213 and 3123151, that added together give a palindrome (4636364).

The spelling of 15132133123151 in words is "fifteen trillion, one hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred fifty-one".

Divisors: 1 11 103 121 127 1133 1397 2437 3923 12463 13081 15367 26807 43153 143891 251011 294877 309499 404069 474683 498221 1582801 2761121 3404489 4444759 5480431 9560351 30372331 31878397 37449379 48892349 51316763 60284741 105163861 350662367 564484393 984716153 1156802471 1214164577 3857286037 6209328323 10831877683 13355810347 119150654513 125058951431 146913913817 1375648465741 15132133123151