Search a number
-
+
133043155355100 = 2235213723539137519
BaseRepresentation
bin11110010000000010000110…
…000000111100010111011100
3122110001210122020200202012010
4132100002012000330113130
5114414234340232330400
61150543103134311220
740011023262344424
oct3620020600742734
9573053566622163
10133043155355100
1139434315851a31
1212b087a3658510
135930bb9aa4363
1424bd474749484
15105ab57804450
hex79008603c5dc

133043155355100 has 144 divisors (see below), whose sum is σ = 387767256307200. Its totient is φ = 35217457681920.

The previous prime is 133043155355093. The next prime is 133043155355107. The reversal of 133043155355100 is 1553551340331.

It is an interprime number because it is at equal distance from previous prime (133043155355093) and next prime (133043155355107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133043155355107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967384141 + ... + 967521659.

It is an arithmetic number, because the mean of its divisors is an integer number (2692828168800).

Almost surely, 2133043155355100 is an apocalyptic number.

133043155355100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133043155355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193883628153600).

133043155355100 is an abundant number, since it is smaller than the sum of its proper divisors (254724100952100).

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

133043155355100 is a wasteful number, since it uses less digits than its factorization.

133043155355100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161212 (or 161205 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 133043155355100 in words is "one hundred thirty-three trillion, forty-three billion, one hundred fifty-five million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6850 8220 10275 13700 20550 23539 41100 47078 70617 94156 117695 137519 141234 235390 275038 282468 353085 412557 470780 550076 588475 687595 706170 825114 1176950 1375190 1412340 1650228 1765425 2062785 2353900 2750380 3224843 3437975 3530850 4125570 6449686 6875950 7061700 8251140 9674529 10313925 12899372 13751900 16124215 18840103 19349058 20627850 32248430 37680206 38698116 41255700 48372645 56520309 64496860 75360412 80621075 94200515 96745290 113040618 161242150 188401030 193490580 226081236 241863225 282601545 322484300 376802060 471002575 483726450 565203090 942005150 967452900 1130406180 1413007725 1884010300 2826015450 3237059741 5652030900 6474119482 9711179223 12948238964 16185298705 19422358446 32370597410 38844716892 48555896115 64741194820 80926493525 97111792230 161852987050 194223584460 242779480575 323705974100 443477184517 485558961150 886954369034 971117922300 1330431553551 1773908738068 2217385922585 2660863107102 4434771845170 5321726214204 6652157767755 8869543690340 11086929612925 13304315535510 22173859225850 26608631071020 33260788838775 44347718451700 66521577677550 133043155355100