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133000201101300 = 2235213113301793059
BaseRepresentation
bin11110001111011010000101…
…101111011101111111110100
3122102220200202200200120100020
4132033122011233131333310
5114413033402440220200
61150511240543445140
740004642653250661
oct3617320557357764
9572820680616306
10133000201101300
1139418083239325
1212b003b62b67b0
135929b32966730
1424bb35ba82a68
1510599917b2ea0
hex78f685bddff4

133000201101300 has 144 divisors (see below), whose sum is σ = 418082376223680. Its totient is φ = 32448789596160.

The previous prime is 133000201101283. The next prime is 133000201101373. The reversal of 133000201101300 is 3101102000331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133000201101300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150455830 + ... + 151337229.

Almost surely, 2133000201101300 is an apocalyptic number.

133000201101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133000201101300 is an abundant number, since it is smaller than the sum of its proper divisors (285082175122380).

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

133000201101300 is a wasteful number, since it uses less digits than its factorization.

133000201101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301793202 (or 301793195 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133000201101300 its reverse (3101102000331), we get a palindrome (136101303101631).

The spelling of 133000201101300 in words is "one hundred thirty-three trillion, two hundred one million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 300 325 339 390 452 565 650 678 780 975 1130 1300 1356 1469 1695 1950 2260 2825 2938 3390 3900 4407 5650 5876 6780 7345 8475 8814 11300 14690 16950 17628 22035 29380 33900 36725 44070 73450 88140 110175 146900 220350 440700 301793059 603586118 905379177 1207172236 1508965295 1810758354 3017930590 3621516708 3923309767 4526895885 6035861180 7544826475 7846619534 9053791770 11769929301 15089652950 15693239068 18107583540 19616548835 22634479425 23539858602 30179305900 34102615667 39233097670 45268958850 47079717204 58849646505 68205231334 78466195340 90537917700 98082744175 102307847001 117699293010 136410462668 170513078335 196165488350 204615694002 235398586020 294248232525 341026156670 392330976700 409231388004 443334003671 511539235005 588496465050 682052313340 852565391675 886668007342 1023078470010 1176992930100 1330002011013 1705130783350 1773336014684 2046156940020 2216670018355 2557696175025 2660004022026 3410261566700 4433340036710 5115392350050 5320008044052 6650010055065 8866680073420 10230784700100 11083350091775 13300020110130 22166700183550 26600040220260 33250050275325 44333400367100 66500100550650 133000201101300