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132320122320 = 2435934159023
BaseRepresentation
bin111101100111011100…
…1001101010111010000
3110122112121122200010010
41323032321031113100
54131442422403240
6140441555234520
712363005324241
oct1731671152720
9418477580103
10132320122320
11511312943a1
12217898a8a40
13c629773989
146593694cc8
1536968ac280
hex1ecee4d5d0

132320122320 has 80 divisors (see below), whose sum is σ = 410243242752. Its totient is φ = 35280990720.

The previous prime is 132320122289. The next prime is 132320122343. The reversal of 132320122320 is 23221023231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1323201223202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212329 + ... + 2271351.

Almost surely, 2132320122320 is an apocalyptic number.

132320122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132320122320 is an abundant number, since it is smaller than the sum of its proper divisors (277923120432).

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

132320122320 is a wasteful number, since it uses less digits than its factorization.

132320122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68380 (or 68374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132320122320 its reverse (23221023231), we get a palindrome (155541145551).

The spelling of 132320122320 in words is "one hundred thirty-two billion, three hundred twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9341 18682 28023 37364 46705 56046 59023 74728 93410 112092 118046 140115 149456 177069 186820 224184 236092 280230 295115 354138 373640 448368 472184 560460 590230 708276 747280 885345 944368 1120920 1180460 1416552 1770690 2241840 2360920 2833104 3541380 4721840 7082760 14165520 551333843 1102667686 1654001529 2205335372 2756669215 3308003058 4410670744 5513338430 6616006116 8270007645 8821341488 11026676860 13232012232 16540015290 22053353720 26464024464 33080030580 44106707440 66160061160 132320122320