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132202310133330 = 23351034753768793
BaseRepresentation
bin11110000011110010111111…
…101110111110011001010010
3122100002102021022001202102000
4132003302333232332121102
5114312000312343231310
61145100523003134430
736563205326031243
oct3603627756763122
9570072238052360
10132202310133330
113913a759621608
12129b183a214416
13589c81691b008
1424908a9878cca
151043d4371e4c0
hex783cbfbbe652

132202310133330 has 64 divisors (see below), whose sum is σ = 355962207294720. Its totient is φ = 34911678008448.

The previous prime is 132202310133269. The next prime is 132202310133343. The reversal of 132202310133330 is 33331013202231.

132202310133330 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 2 + 310 + 13 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132202310133294 and 132202310133303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376856587 + ... + 2376912206.

It is an arithmetic number, because the mean of its divisors is an integer number (5561909488980).

Almost surely, 2132202310133330 is an apocalyptic number.

132202310133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132202310133330 is an abundant number, since it is smaller than the sum of its proper divisors (223759897161390).

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

132202310133330 is a wasteful number, since it uses less digits than its factorization.

132202310133330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753768912 (or 4753768906 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132202310133330 its reverse (33331013202231), we get a palindrome (165533323335561).

The spelling of 132202310133330 in words is "one hundred thirty-two trillion, two hundred two billion, three hundred ten million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 4635 5562 9270 13905 27810 4753768793 9507537586 14261306379 23768843965 28522612758 42783919137 47537687930 71306531895 85567838274 128351757411 142613063790 213919595685 256703514822 427839191370 489638185679 641758787055 979276371358 1283517574110 1468914557037 2448190928395 2937829114074 4406743671111 4896381856790 7344572785185 8813487342222 13220231013333 14689145570370 22033718355555 26440462026666 44067436711110 66101155066665 132202310133330