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141501105141 = 311237101104311
BaseRepresentation
bin1000001111001000011…
…1111000001111110101
3111112020110021220212220
42003302013320033311
54304243240331031
6145001003432553
713136346356064
oct2036207701765
9445213256786
10141501105141
1155012759700
1223510525759
13104608802a6
146bc4b3c1db
153a328d8596
hex20f21f83f5

141501105141 has 48 divisors (see below), whose sum is σ = 215094681984. Its totient is φ = 82613520000.

The previous prime is 141501105121. The next prime is 141501105269.

141501105141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141501105141 - 27 = 141501105013 is a prime.

It is a super-2 number, since 2×1415011051412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141501105121) 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, 1304376 + ... + 1408686.

It is an arithmetic number, because the mean of its divisors is an integer number (4481139208).

Almost surely, 2141501105141 is an apocalyptic number.

141501105141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141501105141 is a deficient number, since it is larger than the sum of its proper divisors (73593576843).

141501105141 is a wasteful number, since it uses less digits than its factorization.

141501105141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104474 (or 104463 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

It can be divided in two parts, 141501 and 105141, that added together give a palindrome (246642).

The spelling of 141501105141 in words is "one hundred forty-one billion, five hundred one million, one hundred five thousand, one hundred forty-one".

Divisors: 1 3 11 33 37 101 111 121 303 363 407 1111 1221 3333 3737 4477 11211 12221 13431 36663 41107 104311 123321 312933 452177 1147421 1356531 3442263 3859507 10535411 11578521 12621631 31606233 37864893 42454577 115889521 127363731 347668563 389810207 467000347 1169430621 1274784731 1401001041 3824354193 4287912277 12863736831 47167035047 141501105141