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132132234400100 = 225211218515497241
BaseRepresentation
bin11110000010110001101110…
…111001010001000101100100
3122022211201101121012200001222
4132002301232321101011210
5114304323304001300400
61145004413245035512
736555144642106064
oct3602615671210544
9568751347180058
10132132234400100
1139112a69702aa0
12129a0141b55b98
1358960298a83cc
14248b33cb8b3a4
1510420e164e185
hex782c6ee51164

132132234400100 has 72 divisors (see below), whose sum is σ = 312807406607136. Its totient is φ = 48045877600000.

The previous prime is 132132234400091. The next prime is 132132234400123. The reversal of 132132234400100 is 1004432231231.

It is a self number, because there is not a number n which added to its sum of digits gives 132132234400100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21287480 + ... + 26784720.

It is an arithmetic number, because the mean of its divisors is an integer number (4344547313988).

Almost surely, 2132132234400100 is an apocalyptic number.

132132234400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132132234400100 is an abundant number, since it is smaller than the sum of its proper divisors (180675172207036).

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

132132234400100 is a wasteful number, since it uses less digits than its factorization.

132132234400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519117 (or 5519110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 132132234400100 its reverse (1004432231231), we get a palindrome (133136666631331).

The spelling of 132132234400100 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, two hundred thirty-four million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 21851 43702 87404 109255 218510 240361 437020 480722 546275 961444 1092550 1201805 2185100 2403610 4807220 5497241 6009025 10994482 12018050 21988964 24036100 27486205 54972410 60469651 109944820 120939302 137431025 241878604 274862050 302348255 549724100 604696510 1209393020 1511741275 3023482550 6046965100 120120213091 240240426182 480480852364 600601065455 1201202130910 1321322344001 2402404261820 2642644688002 3003005327275 5285289376004 6006010654550 6606611720005 12012021309100 13213223440010 26426446880020 33033058600025 66066117200050 132132234400100