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153540112131 = 32722972714639
BaseRepresentation
bin1000111011111110110…
…1000010111100000011
3112200022110210211202200
42032333231002330003
510003422232042011
6154311345244243
714043603263610
oct2167755027403
9480273724680
10153540112131
115a13043285a
1225910333683
131162bb21673
1476079d1507
153ed97b1856
hex23bfb42f03

153540112131 has 48 divisors (see below), whose sum is σ = 254937446400. Its totient is φ = 87227959104.

The previous prime is 153540112129. The next prime is 153540112139. The reversal of 153540112131 is 131211045351.

153540112131 is a `hidden beast` number, since 1 + 5 + 3 + 540 + 112 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 153540112131 - 21 = 153540112129 is a prime.

It is a super-2 number, since 2×1535401121312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153540112095 and 153540112104.

It is not an unprimeable number, because it can be changed into a prime (153540112139) 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, 10481110 + ... + 10495748.

It is an arithmetic number, because the mean of its divisors is an integer number (5311196800).

Almost surely, 2153540112131 is an apocalyptic number.

153540112131 is a deficient number, since it is larger than the sum of its proper divisors (101397334269).

153540112131 is a wasteful number, since it uses less digits than its factorization.

153540112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15608 (or 15605 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 153540112131 its reverse (131211045351), we get a palindrome (284751157482).

The spelling of 153540112131 in words is "one hundred fifty-three billion, five hundred forty million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 229 687 727 1603 2061 2181 4809 5089 6543 14427 14639 15267 43917 45801 102473 131751 166483 307419 499449 922257 1165381 1498347 3352331 3496143 10056993 10488429 10642553 23466317 30170979 31927659 70398951 74497871 95782977 211196853 223493613 670480839 2437144637 7311433911 17060012459 21934301733 51180037377 153540112131