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31454363135013 = 37133173160931643
BaseRepresentation
bin1110010011011100010100…
…01001000010110000100101
311010101000012122111221121220
413021232022021002300211
513110322013430310023
6150521533540330553
76424334304150240
oct711561211026045
9133330178457556
1031454363135013
11a0277a1a812a5
1236400966a3a59
131472197a0c220
147aa583966257
153983008843e3
hex1c9b8a242c25

31454363135013 has 128 divisors (see below), whose sum is σ = 54047668469760. Its totient is φ = 15825819709440.

The previous prime is 31454363135011. The next prime is 31454363135023. The reversal of 31454363135013 is 31053136345413.

It is not a de Polignac number, because 31454363135013 - 21 = 31454363135011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31454363135011) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 994022770 + ... + 994054412.

It is an arithmetic number, because the mean of its divisors is an integer number (422247409920).

Almost surely, 231454363135013 is an apocalyptic number.

It is an amenable number.

31454363135013 is a deficient number, since it is larger than the sum of its proper divisors (22593305334747).

31454363135013 is a wasteful number, since it uses less digits than its factorization.

31454363135013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33379.

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 31454363135013 in words is "thirty-one trillion, four hundred fifty-four billion, three hundred sixty-three million, one hundred thirty-five thousand, thirteen".

Divisors: 1 3 7 13 21 31 39 73 91 93 217 219 273 403 511 651 949 1209 1533 1609 2263 2821 2847 4827 6643 6789 8463 11263 15841 19929 20917 29419 31643 33789 47523 49879 62751 88257 94929 117457 146419 149637 205933 221501 349153 352371 411359 439257 617799 648427 664503 822199 980933 1047459 1234077 1526941 1945281 2309939 2466597 2879513 2942799 3641167 4538989 4580823 6866531 6929817 8638539 10688587 10923501 12752129 13616967 16169573 20599593 25488169 30029207 32065761 38256387 47335171 48508719 50913587 71608109 76464507 89264903 90087621 142005513 152740761 210204449 214824327 267794709 331346197 356395109 501256763 630613347 661876631 930905417 994038591 1069185327 1503770289 1578321197 1985629893 2792716251 3716691851 4633136417 4734963591 6516337919 11048248379 11150075553 13899409251 19549013757 20518175561 26016842957 33144745137 48316994063 61554526683 78050528871 115217447381 143627228927 144950982189 338218958441 345652342143 430881686781 806522131667 1014656875323 1497826815953 2419566395001 4493480447859 10484787711671 31454363135013