Search a number
-
+
132201103023330 = 235113194611365911
BaseRepresentation
bin11110000011110001110111…
…110010001101110011100010
3122100002022011011200012210020
4132003301313302031303202
5114311440324333221310
61145100203122414310
736563133400541145
oct3603616762156342
9570068134605706
10132201103023330
113913a19a1a9a40
12129b1561b01396
13589c683807543
1424907d341805c
151043cc277c170
hex783c77c8dce2

132201103023330 has 128 divisors (see below), whose sum is σ = 357329922342912. Its totient is φ = 31011620640000.

The previous prime is 132201103023317. The next prime is 132201103023343. The reversal of 132201103023330 is 33320301102231.

It is an interprime number because it is at equal distance from previous prime (132201103023317) and next prime (132201103023343).

It is a super-2 number, since 2×1322011030233302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132201103023330.

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, 96103075 + ... + 97468985.

It is an arithmetic number, because the mean of its divisors is an integer number (2791640018304).

Almost surely, 2132201103023330 is an apocalyptic number.

132201103023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201103023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178664961171456).

132201103023330 is an abundant number, since it is smaller than the sum of its proper divisors (225128819319582).

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

132201103023330 is a wasteful number, since it uses less digits than its factorization.

132201103023330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375424.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132201103023330 its reverse (33320301102231), we get a palindrome (165521404125561).

The spelling of 132201103023330 in words is "one hundred thirty-two trillion, two hundred one billion, one hundred three million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 9461 10230 18922 28383 47305 56766 94610 104071 141915 208142 283830 293291 312213 520355 586582 624426 879873 1040710 1365911 1466455 1561065 1759746 2731822 2932910 3122130 3226201 4097733 4399365 6452402 6829555 8195466 8798730 9678603 13659110 15025021 16131005 19357206 20488665 30050042 32262010 40977330 42343241 45075063 48393015 75125105 84686482 90150126 96786030 127029723 150250210 211716205 225375315 254059446 423432410 450750630 465775651 635148615 931551302 1270297230 1397326953 2328878255 2794653906 4657756510 6986634765 12922883971 13973269530 25845767942 38768651913 64614419855 77537303826 129228839710 142151723681 193843259565 284303447362 387686519130 400609403101 426455171043 710758618405 801218806202 852910342086 1201828209303 1421517236810 2003047015505 2132275855215 2403656418606 4006094031010 4264551710430 4406703434111 6009141046515 8813406868222 12018282093030 13220110302333 22033517170555 26440220604666 44067034341110 66100551511665 132201103023330