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132242100504210 = 23354810910180747
BaseRepresentation
bin11110000100011000000011…
…011011001100011010010010
3122100020012222100200000211000
4132010120003123030122102
5114313123310212113320
61145131103213002430
736566114346431364
oct3604300333143222
9570205870600730
10132242100504210
1139155618210144
12129b94a3a83416
1358a34b8424478
1424927a2278d34
151044dc1ae8c90
hex7846036cc692

132242100504210 has 64 divisors (see below), whose sum is σ = 352652966121600. Its totient is φ = 35263823656896.

The previous prime is 132242100504193. The next prime is 132242100504251. The reversal of 132242100504210 is 12405001242231.

132242100504210 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 42 + 100 + 504 + 2 + 10 = 666.

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

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, 7899057 + ... + 18079803.

It is an arithmetic number, because the mean of its divisors is an integer number (5510202595650).

Almost surely, 2132242100504210 is an apocalyptic number.

132242100504210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132242100504210 is an abundant number, since it is smaller than the sum of its proper divisors (220410865617390).

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

132242100504210 is a wasteful number, since it uses less digits than its factorization.

132242100504210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228872 (or 10228866 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 132242100504210 its reverse (12405001242231), we get a palindrome (144647101746441).

The spelling of 132242100504210 in words is "one hundred thirty-two trillion, two hundred forty-two billion, one hundred million, five hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 48109 96218 144327 240545 288654 432981 481090 721635 865962 1298943 1443270 2164905 2597886 4329810 6494715 10180747 12989430 20361494 30542241 50903735 61084482 91626723 101807470 152711205 183253446 274880169 305422410 458133615 549760338 916267230 1374400845 2748801690 489785557423 979571114846 1469356672269 2448927787115 2938713344538 4408070016807 4897855574230 7346783361345 8816140033614 13224210050421 14693566722690 22040350084035 26448420100842 44080700168070 66121050252105 132242100504210