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132201131331000 = 23353151291834727
BaseRepresentation
bin11110000011110001111001…
…011110001100110110111000
3122100002022020010221101121110
4132003301321132030312320
5114311440404110043000
61145100210013240320
736563134163260614
oct3603617136146670
9570068203841543
10132201131331000
113913a204183a06
12129b156b4930a0
13589c689639144
1424907d70a6344
151043cc4ebe850
hex783c7978cdb8

132201131331000 has 128 divisors (see below), whose sum is σ = 415199104220160. Its totient is φ = 35020167120000.

The previous prime is 132201131330987. The next prime is 132201131331013. The reversal of 132201131331000 is 133131102231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132201131330987) and next prime (132201131331013).

It is a super-2 number, since 2×1322011313310002 (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 145464364 + ... + 146370363.

It is an arithmetic number, because the mean of its divisors is an integer number (3243743001720).

Almost surely, 2132201131331000 is an apocalyptic number.

132201131331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132201131331000 is an abundant number, since it is smaller than the sum of its proper divisors (282997972889160).

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

132201131331000 is a wasteful number, since it uses less digits than its factorization.

132201131331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291834902 (or 291834888 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132201131331000 its reverse (133131102231), we get a palindrome (132334262433231).

The spelling of 132201131331000 in words is "one hundred thirty-two trillion, two hundred one billion, one hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 750 755 906 1000 1208 1500 1510 1812 2265 3000 3020 3624 3775 4530 6040 7550 9060 11325 15100 18120 18875 22650 30200 37750 45300 56625 75500 90600 113250 151000 226500 453000 291834727 583669454 875504181 1167338908 1459173635 1751008362 2334677816 2918347270 3502016724 4377520905 5836694540 7004033448 7295868175 8755041810 11673389080 14591736350 17510083620 21887604525 29183472700 35020167240 36479340875 43775209050 44067043777 58366945400 72958681750 87550418100 88134087554 109438022625 132201131331 145917363500 175100836200 176268175108 218876045250 220335218885 264402262662 291834727000 352536350216 437752090500 440670437770 528804525324 661005656655 875504181000 881340875540 1057609050648 1101676094425 1322011313310 1762681751080 2203352188850 2644022626620 3305028283275 4406704377700 5288045253240 5508380472125 6610056566550 8813408755400 11016760944250 13220113133100 16525141416375 22033521888500 26440226266200 33050282832750 44067043777000 66100565665500 132201131331000