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132020244220314 = 231731971275315619
BaseRepresentation
bin11110000001001001011011…
…110000101000100110011010
3122022110000022210221002021110
4132001021123300220212122
5114301004430010022224
61144441132442521150
736544101503224152
oct3601113360504632
9568400283832243
10132020244220314
113907a5201133aa
12129824a88061b6
1358885bcc91c38
142485b57547762
15103e239983929
hex78125bc2899a

132020244220314 has 128 divisors (see below), whose sum is σ = 289011390750720. Its totient is φ = 40023661363200.

The previous prime is 132020244220261. The next prime is 132020244220339. The reversal of 132020244220314 is 413022442020231.

It is a super-3 number, since 3×1320202442203143 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8452533597 + ... + 8452549215.

It is an arithmetic number, because the mean of its divisors is an integer number (2257901490240).

Almost surely, 2132020244220314 is an apocalyptic number.

132020244220314 is an abundant number, since it is smaller than the sum of its proper divisors (156991146530406).

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

132020244220314 is a wasteful number, since it uses less digits than its factorization.

132020244220314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19396.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 132020244220314 its reverse (413022442020231), we get a palindrome (545042686240545).

The spelling of 132020244220314 in words is "one hundred thirty-two trillion, twenty billion, two hundred forty-four million, two hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 971 1054 1581 1942 2753 2913 3162 5506 5826 8259 15619 16507 16518 30101 31238 33014 46801 46857 49521 60202 85343 90303 93602 93714 99042 140403 170686 180606 256029 265523 280806 484189 511717 512058 531046 796569 968378 1023434 1450831 1452567 1535151 1593138 2673163 2901662 2905134 3070302 4352493 5346326 8019489 8231213 8704986 15166049 16038978 16462426 24693639 30332098 42999107 45443771 45498147 49387278 82868053 85998214 90887542 90996294 128997321 136331313 165736106 248604159 257822833 257994642 272662626 470147519 497208318 515645666 730984819 773468499 940295038 1332972317 1408756901 1410442557 1461969638 1546936998 2192954457 2665944634 2817513802 2820885114 3998916951 4226270703 4385908914 7992507823 7997833902 8452541406 15985015646 22660529389 23977523469 41752132897 45321058778 47955046938 67981588167 83504265794 125256398691 135963176334 250512797382 709786259249 1294316119807 1419572518498 2129358777747 2588632239614 3882948359421 4258717555494 7765896718842 22003374036719 44006748073438 66010122110157 132020244220314