Search a number
-
+
132022210200 = 23352527341729
BaseRepresentation
bin111101011110100100…
…0110000111010011000
3110121202212002011111220
41322331020300322120
54130340141211300
6140352234052040
712352430161626
oct1727510607230
9417685064456
10132022210200
1150a99106631
1221705b7a020
13c5acb2730a
146565ca6516
15367a661da0
hex1ebd230e98

132022210200 has 96 divisors (see below), whose sum is σ = 409356277200. Its totient is φ = 35198402560.

The previous prime is 132022210181. The next prime is 132022210249. The reversal of 132022210200 is 2012220231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132022210200.

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 23 ways as a sum of consecutive naturals, for example, 3142936 + ... + 3184664.

Almost surely, 2132022210200 is an apocalyptic number.

132022210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132022210200 is an abundant number, since it is smaller than the sum of its proper divisors (277334067000).

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

132022210200 is a wasteful number, since it uses less digits than its factorization.

132022210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47021 (or 47012 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 132022210200 its reverse (2012220231), we get a palindrome (134034430431).

The spelling of 132022210200 in words is "one hundred thirty-two billion, twenty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5273 10546 15819 21092 26365 31638 41729 42184 52730 63276 79095 83458 105460 125187 126552 131825 158190 166916 208645 210920 250374 263650 316380 333832 395475 417290 500748 527300 625935 632760 790950 834580 1001496 1043225 1054600 1251870 1581900 1669160 2086450 2503740 3129675 3163800 4172900 5007480 6259350 8345800 12518700 25037400 220037017 440074034 660111051 880148068 1100185085 1320222102 1760296136 2200370170 2640444204 3300555255 4400740340 5280888408 5500925425 6601110510 8801480680 11001850850 13202221020 16502776275 22003701700 26404442040 33005552550 44007403400 66011105100 132022210200