Search a number
-
+
31140101135 = 51113172374073
BaseRepresentation
bin11101000000000110…
…000011110000001111
32222101012121001010002
4131000012003300033
51002233331214020
622150000234515
72151452330603
oct350006036017
988335531102
1031140101135
111222a858980
12605090ba3b
132c23646660
141715a25503
15c23c81975
hex740183c0f

31140101135 has 96 divisors (see below), whose sum is σ = 47907502272. Its totient is φ = 19139051520.

The previous prime is 31140101131. The next prime is 31140101147. The reversal of 31140101135 is 53110104113.

It is not a de Polignac number, because 31140101135 - 22 = 31140101131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140101131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7643459 + ... + 7647531.

It is an arithmetic number, because the mean of its divisors is an integer number (499036482).

Almost surely, 231140101135 is an apocalyptic number.

31140101135 is a deficient number, since it is larger than the sum of its proper divisors (16767401137).

31140101135 is a wasteful number, since it uses less digits than its factorization.

31140101135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 31140101135 its reverse (53110104113), we get a palindrome (84250205248).

The spelling of 31140101135 in words is "thirty-one billion, one hundred forty million, one hundred one thousand, one hundred thirty-five".

Divisors: 1 5 11 13 17 37 55 65 85 143 185 187 221 289 407 481 629 715 935 1105 1445 2035 2405 2431 3145 3179 3757 4073 5291 6919 8177 10693 12155 15895 18785 20365 26455 34595 40885 41327 44803 52949 53465 69241 89947 117623 139009 150701 206635 224015 264745 346205 449735 582439 588115 695045 753505 761651 900133 1177097 1529099 1657711 1959113 2561917 2912195 3808255 4500665 5885485 7645495 8288555 9795565 9901463 12809585 12948067 15302261 21550243 28181087 33304921 43552589 49507315 64740335 76511305 107751215 140905435 166524605 168324871 217762945 366354131 479078479 566183657 841624355 1831770655 2395392395 2830918285 6228020227 31140101135