Search a number
-
+
132200410231300 = 22522331259811071
BaseRepresentation
bin11110000011110001001110…
…011111011011001000000100
3122100002020100220001201210011
4132003301032133123020010
5114311432420004400200
61145100010253440004
736563110256110255
oct3603611637331004
9570066326051704
10132200410231300
1139139974133044
12129b13a9aa0004
13589c5a311cc28
1424907693d8b2c
151043c81a305ba
hex783c4e7db204

132200410231300 has 108 divisors (see below), whose sum is σ = 309315590535168. Its totient is φ = 48949379688000.

The previous prime is 132200410231273. The next prime is 132200410231333. The reversal of 132200410231300 is 3132014002231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27695236 + ... + 32115835.

It is an arithmetic number, because the mean of its divisors is an integer number (2864033245696).

Almost surely, 2132200410231300 is an apocalyptic number.

132200410231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132200410231300 is an abundant number, since it is smaller than the sum of its proper divisors (177115180303868).

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

132200410231300 is a wasteful number, since it uses less digits than its factorization.

132200410231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59811170 (or 59811132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 132200410231300 its reverse (3132014002231), we get a palindrome (135332424233531).

The spelling of 132200410231300 in words is "one hundred thirty-two trillion, two hundred billion, four hundred ten million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 961 1150 1426 1550 1922 2300 2852 3100 3565 3844 4805 7130 9610 14260 17825 19220 22103 24025 35650 44206 48050 71300 88412 96100 110515 221030 442060 552575 1105150 2210300 59811071 119622142 239244284 299055355 598110710 1196221420 1375654633 1495276775 1854143201 2751309266 2990553550 3708286402 5502618532 5981107100 6878273165 7416572804 9270716005 13756546330 18541432010 27513092660 34391365825 37082864020 42645293623 46353580025 57478439231 68782731650 85290587246 92707160050 114956878462 137565463300 170581174492 185414320100 213226468115 229913756924 287392196155 426452936230 574784392310 852905872460 1066132340575 1149568784620 1322004102313 1436960980775 2132264681150 2644008204626 2873921961550 4264529362300 5288016409252 5747843923100 6610020511565 13220041023130 26440082046260 33050102557825 66100205115650 132200410231300