Search a number
-
+
13101404322000 = 243533117021117
BaseRepresentation
bin1011111010100110100010…
…0011001111100011010000
31201101111000101121211011010
42332221220203033203100
53204123134001301000
643510411351050520
72521355004203211
oct276515043174320
951344011554133
1013101404322000
1141a1302206795
121577181970a40
137405c33ca907
1433417b7a1408
1517abe6d1bd50
hexbea688cf8d0

13101404322000 has 160 divisors (see below), whose sum is σ = 42374750056704. Its totient is φ = 3482473536000.

The previous prime is 13101404321953. The next prime is 13101404322073. The reversal of 13101404322000 is 22340410131.

13101404322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644559 + ... + 5376558.

Almost surely, 213101404322000 is an apocalyptic number.

13101404322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101404322000 is an abundant number, since it is smaller than the sum of its proper divisors (29273345734704).

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

13101404322000 is a wasteful number, since it uses less digits than its factorization.

13101404322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021454 (or 7021438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13101404322000 its reverse (22340410131), we get a palindrome (13123744732131).

The spelling of 13101404322000 in words is "thirteen trillion, one hundred one billion, four hundred four million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 311 375 400 500 600 622 750 933 1000 1200 1244 1500 1555 1866 2000 2488 3000 3110 3732 4665 4976 6000 6220 7464 7775 9330 12440 14928 15550 18660 23325 24880 31100 37320 38875 46650 62200 74640 77750 93300 116625 124400 155500 186600 233250 311000 373200 466500 622000 933000 1866000 7021117 14042234 21063351 28084468 35105585 42126702 56168936 70211170 84253404 105316755 112337872 140422340 168506808 175527925 210633510 280844680 337013616 351055850 421267020 526583775 561689360 702111700 842534040 877639625 1053167550 1404223400 1685068080 1755279250 2106335100 2183567387 2632918875 2808446800 3510558500 4212670200 4367134774 5265837750 6550702161 7021117000 8425340400 8734269548 10531675500 10917836935 13101404322 14042234000 17468539096 21063351000 21835673870 26202808644 32753510805 34937078192 42126702000 43671347740 52405617288 54589184675 65507021610 87342695480 104811234576 109178369350 131014043220 163767554025 174685390960 218356738700 262028086440 272945923375 327535108050 436713477400 524056172880 545891846750 655070216100 818837770125 873426954800 1091783693500 1310140432200 1637675540250 2183567387000 2620280864400 3275351080500 4367134774000 6550702161000 13101404322000