Search a number
-
+
135101231631 = 32416710751071
BaseRepresentation
bin111110111010010101…
…0010011001000001111
3110220201102210122212200
41331310222103020033
54203141403403011
6142021544132543
712521635343532
oct1756452231017
9426642718780
10135101231631
1152329139a43
1222225167153
13c9809b86a2
146778b9ca19
1537aab14856
hex1f74a9320f

135101231631 has 48 divisors (see below), whose sum is σ = 204789731328. Its totient is φ = 85748572800.

The previous prime is 135101231627. The next prime is 135101231651. The reversal of 135101231631 is 136132101531.

It is a happy number.

135101231631 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 1 + 23 + 1 + 631 = 666.

It is not a de Polignac number, because 135101231631 - 22 = 135101231627 is a prime.

It is a super-2 number, since 2×1351012316312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135101231595 and 135101231604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135101231651) 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, 2619826 + ... + 2670896.

It is an arithmetic number, because the mean of its divisors is an integer number (4266452736).

Almost surely, 2135101231631 is an apocalyptic number.

135101231631 is a deficient number, since it is larger than the sum of its proper divisors (69688499697).

135101231631 is a wasteful number, since it uses less digits than its factorization.

135101231631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51292 (or 51289 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 135101231631 in words is "one hundred thirty-five billion, one hundred one million, two hundred thirty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 41 67 107 123 201 321 369 603 963 2747 4387 7169 8241 13161 21507 24723 39483 51071 64521 153213 293929 459639 881787 2093911 2645361 3421757 5464597 6281733 10265271 16393791 18845199 30795813 49181373 140292037 224048477 366127999 420876111 672145431 1098383997 1262628333 2016436293 3295151991 15011247959 45033743877 135101231631