Search a number
-
+
133834787031 = 31173491113149
BaseRepresentation
bin111110010100100101…
…1001100100011010111
3110210110011202121111010
41330221023030203113
54143043201141111
6141252143543303
712445356630321
oct1745113144327
9423404677433
10133834787031
1151839280410
1221b30bbab33
13c80b4cba9a
1466988d4611
153734851aa6
hex1f292cc8d7

133834787031 has 32 divisors (see below), whose sum is σ = 197739129600. Its totient is φ = 79837228800.

The previous prime is 133834787017. The next prime is 133834787041. The reversal of 133834787031 is 130787438331.

It is a happy number.

It is not a de Polignac number, because 133834787031 - 25 = 133834786999 is a prime.

It is a super-2 number, since 2×1338347870312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133834787041) 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, 1126245 + ... + 1239393.

It is an arithmetic number, because the mean of its divisors is an integer number (6179347800).

Almost surely, 2133834787031 is an apocalyptic number.

133834787031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133834787031 is a deficient number, since it is larger than the sum of its proper divisors (63904342569).

133834787031 is a wasteful number, since it uses less digits than its factorization.

133834787031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113727.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 133834787031 in words is "one hundred thirty-three billion, eight hundred thirty-four million, seven hundred eighty-seven thousand, thirty-one".

Divisors: 1 3 11 33 73 219 491 803 1473 2409 5401 16203 35843 107529 113149 339447 394273 1182819 1244639 3733917 8259877 24779631 55556159 90858647 166668477 272575941 611117749 1833353247 4055599607 12166798821 44611595677 133834787031