Search a number
-
+
13131101421400 = 2352821394720261
BaseRepresentation
bin1011111100010101001010…
…1000101011111101011000
31201111022200000221210000111
42333011102220223331120
53210114443430441100
643532202243014104
72523455635322014
oct277052250537530
951438600853014
1013131101421400
114202961475046
121580a8b36a334
13743346aba891
143357978bd544
1517b8840626ba
hexbf152a2bf58

13131101421400 has 96 divisors (see below), whose sum is σ = 30576250338480. Its totient is φ = 5244454976000.

The previous prime is 13131101421397. The next prime is 13131101421421. The reversal of 13131101421400 is 412410113131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648087270 + ... + 648107530.

Almost surely, 213131101421400 is an apocalyptic number.

13131101421400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131101421400 is an abundant number, since it is smaller than the sum of its proper divisors (17445148917080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131101421400 is a wasteful number, since it uses less digits than its factorization.

13131101421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25045 (or 25036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13131101421400 its reverse (412410113131), we get a palindrome (13543511534531).

The spelling of 13131101421400 in words is "thirteen trillion, one hundred thirty-one billion, one hundred one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 821 1642 3284 3947 4105 6568 7894 8210 15788 16420 19735 20261 20525 31576 32840 39470 40522 41050 78940 81044 82100 98675 101305 157880 162088 164200 197350 202610 394700 405220 506525 789400 810440 1013050 2026100 3240487 4052200 6480974 12961948 16202435 16634281 25923896 32404870 33268562 64809740 66537124 79970167 81012175 83171405 129619480 133074248 159940334 162024350 166342810 319880668 324048700 332685620 399850835 415857025 639761336 648097400 665371240 799701670 831714050 1599403340 1663428100 1999254175 3198806680 3326856200 3998508350 7997016700 15994033400 65655507107 131311014214 262622028428 328277535535 525244056856 656555071070 1313110142140 1641387677675 2626220284280 3282775355350 6565550710700 13131101421400