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132222100032 = 2633116956129
BaseRepresentation
bin111101100100100001…
…1010010001001000000
3110122021210012121211000
41323021003102021000
54131242324200112
6140424134252000
712360405210051
oct1731103221100
9418253177730
10132222100032
1151090a23840
1221760ab7000
13c612373419
14658465a728
15368ce987dc
hex1ec90d2240

132222100032 has 112 divisors (see below), whose sum is σ = 424045684800. Its totient is φ = 40067297280.

The previous prime is 132222100019. The next prime is 132222100063. The reversal of 132222100032 is 230001222231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132222099978 and 132222100014.

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, 3459057 + ... + 3497072.

Almost surely, 2132222100032 is an apocalyptic number.

132222100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132222100032 is an abundant number, since it is smaller than the sum of its proper divisors (291823584768).

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

132222100032 is a wasteful number, since it uses less digits than its factorization.

132222100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956161 (or 6956145 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132222100032 its reverse (230001222231), we get a palindrome (362223322263).

The spelling of 132222100032 in words is "one hundred thirty-two billion, two hundred twenty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 6956129 13912258 20868387 27824516 41736774 55649032 62605161 76517419 83473548 111298064 125210322 153034838 166947096 187815483 222596128 229552257 250420644 306069676 333894192 375630966 445192256 459104514 500841288 612139352 667788384 688656771 751261932 918209028 1001682576 1224278704 1335576768 1377313542 1502523864 1836418056 2003365152 2065970313 2448557408 2754627084 3005047728 3672836112 4006730304 4131940626 4897114816 5509254168 6010095456 7345672224 8263881252 11018508336 12020190912 14691344448 16527762504 22037016672 33055525008 44074033344 66111050016 132222100032