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13150644605131 = 1131971014339091
BaseRepresentation
bin1011111101011101111110…
…0000000001000011001011
31201120012010000220101011011
42333113133200001003023
53210430010004331011
643545153413144351
72525050142540035
oct277273740010313
951505100811134
1013150644605131
114210180052260
12158482432b0b7
1374513c950117
143366cd250c55
1517c129b45621
hexbf5df8010cb

13150644605131 has 64 divisors (see below), whose sum is σ = 15146302574592. Its totient is φ = 11309414400000.

The previous prime is 13150644605101. The next prime is 13150644605173.

It is a happy number.

13150644605131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13150644605131 - 215 = 13150644572363 is a prime.

It is a super-2 number, since 2×131506446051312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13150644605101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446551896 + ... + 1446560986.

It is an arithmetic number, because the mean of its divisors is an integer number (236660977728).

Almost surely, 213150644605131 is an apocalyptic number.

13150644605131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13150644605131 is a deficient number, since it is larger than the sum of its proper divisors (1995657969461).

13150644605131 is a wasteful number, since it uses less digits than its factorization.

13150644605131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764.

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 13150644605131 in words is "thirteen trillion, one hundred fifty billion, six hundred forty-four million, six hundred five thousand, one hundred thirty-one".

Divisors: 1 11 31 97 101 341 433 1067 1111 3007 3131 4763 9091 9797 13423 33077 34441 42001 43733 100001 107767 147653 281821 303707 462011 481063 881827 918191 1302031 1355723 3100031 3340777 3936403 4242101 9700097 10100101 14322341 14912953 27336637 28463921 43300433 46663111 89064527 122028493 131505131 300703007 313103131 381831091 397576703 979709797 1342313423 1446556441 2761000337 4200142001 4373343733 11836763821 12324877793 30371003707 38564940191 130204402031 135573655723 424214342101 1195513145921 13150644605131