Search a number
-
+
135531123251410 = 252312713140986599
BaseRepresentation
bin11110110100001111001100…
…011101010001100011010010
3122202212122112000020010001201
4132310033030131101203102
5120231020220023021120
61200130045525021414
740355541402465505
oct3664171435214322
9582778460203051
10135531123251410
113a203476871667
121324aa0ab5486a
135a816b77912c3
142567a5444513c
1510a071ee5240a
hex7b43cc7518d2

135531123251410 has 128 divisors (see below), whose sum is σ = 259160850432000. Its totient is φ = 50928935016960.

The previous prime is 135531123251323. The next prime is 135531123251437. The reversal of 135531123251410 is 14152321135531.

It is a super-3 number, since 3×1355311232514103 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135531123251410.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1564999291 + ... + 1565085889.

It is an arithmetic number, because the mean of its divisors is an integer number (2024694144000).

Almost surely, 2135531123251410 is an apocalyptic number.

135531123251410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135531123251410 is a deficient number, since it is larger than the sum of its proper divisors (123629727180590).

135531123251410 is a wasteful number, since it uses less digits than its factorization.

135531123251410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87296.

The product of its (nonzero) digits is 54000, while the sum is 37.

Adding to 135531123251410 its reverse (14152321135531), we get a palindrome (149683444386941).

The spelling of 135531123251410 in words is "one hundred thirty-five trillion, five hundred thirty-one billion, one hundred twenty-three million, two hundred fifty-one thousand, four hundred ten".

Divisors: 1 2 5 10 23 46 115 127 131 230 254 262 409 635 655 818 1270 1310 2045 2921 3013 4090 5842 6026 9407 14605 15065 16637 18814 29210 30130 33274 47035 51943 53579 83185 86599 94070 103886 107158 166370 173198 259715 267895 382651 432995 519430 535790 765302 865990 1194689 1232317 1913255 1991777 2389378 2464634 3826510 3983554 5973445 6161585 6804533 9958885 10998073 11344469 11946890 12323170 13609066 19917770 21996146 22688938 34022665 35418991 54990365 56722345 68045330 70837982 109980730 113444690 156504259 177094955 252955679 260922787 313008518 354189910 505911358 521845574 782521295 814636793 1264778395 1304613935 1440747563 1565042590 1629273586 2529556790 2609227870 2881495126 4073183965 4498211857 4639887821 7203737815 8146367930 8996423714 9279775642 14407475630 22491059285 23199439105 33137193949 44982118570 46398878210 66274387898 103458872711 106717419883 165685969745 206917745422 213434839766 331371939490 517294363555 533587099415 589265753267 1034588727110 1067174198830 1178531506534 2946328766335 5892657532670 13553112325141 27106224650282 67765561625705 135531123251410