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133101331000 = 23531149091
BaseRepresentation
bin111101111110101110…
…1010010001000111000
3110201120001122011221221
41323331131102020320
54140042420043000
6141051303241424
712421242434461
oct1737535221070
9421501564857
10133101331000
11514a2260000
1221967449274
13c722577631
14662932bd68
1536e027161a
hex1efd752238

133101331000 has 160 divisors (see below), whose sum is σ = 342638384400. Its totient is φ = 48395160000.

The previous prime is 133101330961. The next prime is 133101331067. The reversal of 133101331000 is 133101331.

It is a super-2 number, since 2×1331013310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14636455 + ... + 14645545.

Almost surely, 2133101331000 is an apocalyptic number.

133101331000 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 133101331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171319192200).

133101331000 is an abundant number, since it is smaller than the sum of its proper divisors (209537053400).

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

133101331000 is an frugal number, since it uses more digits than its factorization.

133101331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 133101331000 its reverse (133101331), we get a palindrome (133234432331).

133101331000 divided by its reverse (133101331) gives a cube (1000 = 103).

It can be divided in two parts, 13310 and 1331000, that multiplied together give a square (17715610000 = 1331002).

The spelling of 133101331000 in words is "one hundred thirty-three billion, one hundred one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1331 1375 2200 2420 2662 2750 3025 4840 5324 5500 6050 6655 9091 10648 11000 12100 13310 14641 15125 18182 24200 26620 29282 30250 33275 36364 45455 53240 58564 60500 66550 72728 73205 90910 100001 117128 121000 133100 146410 166375 181820 200002 227275 266200 292820 332750 363640 366025 400004 454550 500005 585640 665500 732050 800008 909100 1000010 1100011 1136375 1331000 1464100 1818200 1830125 2000020 2200022 2272750 2500025 2928200 3660250 4000040 4400044 4545500 5000050 5500055 7320500 8800088 9091000 10000100 11000110 12100121 12500125 14641000 20000200 22000220 24200242 25000250 27500275 44000440 48400484 50000500 55000550 60500605 96800968 100001000 110001100 121001210 133101331 137501375 220002200 242002420 266202662 275002750 302503025 484004840 532405324 550005500 605006050 665506655 1064810648 1100011000 1210012100 1331013310 1512515125 2420024200 2662026620 3025030250 3327533275 5324053240 6050060500 6655066550 12100121000 13310133100 16637666375 26620266200 33275332750 66550665500 133101331000