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132781210320 = 243511371359349
BaseRepresentation
bin111101110101001100…
…0000111101011010000
3110200201202021100221110
41323222120013223100
54133413442212240
6140555430053320
712410304444153
oct1735230075320
9420652240843
10132781210320
1151348593660
12218981aa240
13c6a1153505
1465d89dbc9a
1536c20dac80
hex1eea607ad0

132781210320 has 160 divisors (see below), whose sum is σ = 461178518400. Its totient is φ = 31319377920.

The previous prime is 132781210313. The next prime is 132781210343. The reversal of 132781210320 is 23012187231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 581995 + ... + 777354.

It is an arithmetic number, because the mean of its divisors is an integer number (2882365740).

Almost surely, 2132781210320 is an apocalyptic number.

132781210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132781210320 is an abundant number, since it is smaller than the sum of its proper divisors (328397308080).

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

132781210320 is a wasteful number, since it uses less digits than its factorization.

132781210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359413 (or 1359407 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 132781210320 its reverse (23012187231), we get a palindrome (155793397551).

The spelling of 132781210320 in words is "one hundred thirty-two billion, seven hundred eighty-one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 48840 97680 1359349 2718698 4078047 5437396 6796745 8156094 10874792 13593490 14952839 16312188 20390235 21749584 27186980 29905678 32624376 40780470 44858517 50295913 54373960 59811356 65248752 74764195 81560940 89717034 100591826 108747920 119622712 149528390 150887739 163121880 179434068 201183652 224292585 239245424 251479565 299056780 301775478 326243760 358868136 402367304 448585170 502959130 553255043 598113560 603550956 717736272 754438695 804734608 897170340 1005918260 1106510086 1196227120 1207101912 1508877390 1659765129 1794340680 2011836520 2213020172 2414203824 2766275215 3017754780 3319530258 3588681360 4023673040 4426040344 5532550430 6035509560 6639060516 8298825645 8852080688 11065100860 12071019120 13278121032 16597651290 22130201720 26556242064 33195302580 44260403440 66390605160 132781210320