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132127314220 = 225114197151013
BaseRepresentation
bin111101100001101100…
…1101101000100101100
3110122001011212000010101
41323003121231010230
54131044043023340
6140410510520444
712355144432426
oct1730331550454
9418034760111
10132127314220
1151042473860
1221735206124
13c5c8837045
146575c25816
1536849c3c9a
hex1ec366d12c

132127314220 has 96 divisors (see below), whose sum is σ = 313273106496. Its totient is φ = 46390886400.

The previous prime is 132127314203. The next prime is 132127314233. The reversal of 132127314220 is 22413721231.

It is a super-2 number, since 2×1321273142202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799434 + ... + 950446.

It is an arithmetic number, because the mean of its divisors is an integer number (3263261526).

Almost surely, 2132127314220 is an apocalyptic number.

132127314220 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 132127314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156636553248).

132127314220 is an abundant number, since it is smaller than the sum of its proper divisors (181145792276).

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

132127314220 is a wasteful number, since it uses less digits than its factorization.

132127314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151171 (or 151169 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 132127314220 in words is "one hundred thirty-two billion, one hundred twenty-seven million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 97 110 164 194 205 220 388 410 451 485 820 902 970 1067 1804 1940 2134 2255 3977 4268 4510 5335 7954 9020 10670 15908 19885 21340 39770 43747 79540 87494 151013 174988 218735 302026 437470 604052 755065 874940 1510130 1661143 3020260 3322286 6191533 6644572 8305715 12383066 14648261 16611430 24766132 29296522 30957665 33222860 58593044 61915330 68106863 73241305 123830660 136213726 146482610 161130871 272427452 292965220 322261742 340534315 600578701 644523484 681068630 805654355 1201157402 1362137260 1611308710 2402314804 3002893505 3222617420 6005787010 6606365711 12011574020 13212731422 26425462844 33031828555 66063657110 132127314220