Search a number
-
+
93101104140401 = 7597910128252463
BaseRepresentation
bin10101001010110011001010…
…001111011001000001110001
3110012122101020000122001001002
4111022303022033121001301
544200332030124443101
6530002020133451345
725416222102656540
oct2512631217310161
9405571200561032
1093101104140401
1127734a58167a65
12a53774b4a0b55
133cc451ccca486
1418dc190536157
15ab6b9020cd6b
hex54acca3d9071

93101104140401 has 32 divisors (see below), whose sum is σ = 110659250995200. Its totient is φ = 76688482852800.

The previous prime is 93101104140389. The next prime is 93101104140427. The reversal of 93101104140401 is 10404140110139.

It is not a de Polignac number, because 93101104140401 - 26 = 93101104140337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93101104143401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10830905 + ... + 17421558.

It is an arithmetic number, because the mean of its divisors is an integer number (3458101593600).

Almost surely, 293101104140401 is an apocalyptic number.

It is an amenable number.

93101104140401 is a deficient number, since it is larger than the sum of its proper divisors (17558146854799).

93101104140401 is a wasteful number, since it uses less digits than its factorization.

93101104140401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28252709.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 93101104140401 in words is "ninety-three trillion, one hundred one billion, one hundred four million, one hundred forty thousand, four hundred one".

Divisors: 1 7 59 79 101 413 553 707 4661 5959 7979 32627 41713 55853 470761 3295327 28252463 197767241 1666895317 2231944577 2853498763 11668267219 15623612039 19974491341 131684730043 168356427017 225426402277 921793110301 1178494989119 1577984815939 13300157734343 93101104140401