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132434104042100 = 225274313133586291
BaseRepresentation
bin11110000111001010110111…
…101110100100001001110100
3122100220120120102012100111002
4132013022313232210021310
5114324300021113321400
61145355215411102432
736616022361531650
oct3607126756441164
9570816512170432
10132434104042100
1139219a961aaa73
1212a2a7495a1a18
1358b8636b6b953
14249bbb8333a60
151049dad020ed5
hex7872b7ba4274

132434104042100 has 144 divisors (see below), whose sum is σ = 338640103312896. Its totient is φ = 44011474416000.

The previous prime is 132434104042061. The next prime is 132434104042151. The reversal of 132434104042100 is 1240401434231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12850046 + ... + 20736245.

Almost surely, 2132434104042100 is an apocalyptic number.

132434104042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132434104042100 is an abundant number, since it is smaller than the sum of its proper divisors (206205999270796).

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

132434104042100 is a wasteful number, since it uses less digits than its factorization.

132434104042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33586486 (or 33586479 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 132434104042100 its reverse (1240401434231), we get a palindrome (133674505476331).

The spelling of 132434104042100 in words is "one hundred thirty-two trillion, four hundred thirty-four billion, one hundred four million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 131 140 172 175 215 262 301 350 430 524 602 655 700 860 917 1075 1204 1310 1505 1834 2150 2620 3010 3275 3668 4300 4585 5633 6020 6550 7525 9170 11266 13100 15050 18340 22532 22925 28165 30100 39431 45850 56330 78862 91700 112660 140825 157724 197155 281650 394310 563300 788620 985775 1971550 3943100 33586291 67172582 134345164 167931455 235104037 335862910 470208074 671725820 839657275 940416148 1175520185 1444210513 1679314550 2351040370 2888421026 3358629100 4399804121 4702080740 5776842052 5877600925 7221052565 8799608242 10109473591 11755201850 14442105130 17599216484 20218947182 21999020605 23510403700 28884210260 30798628847 36105262825 40437894364 43998041210 50547367955 61597257694 72210525650 87996082420 101094735910 109995103025 123194515388 144421051300 153993144235 189191577203 202189471820 219990206050 252736839775 307986288470 378383154406 439980412100 505473679550 615972576940 756766308812 769965721175 945957886015 1010947359100 1324341040421 1539931442350 1891915772030 2648682080842 3079862884700 3783831544060 4729789430075 5297364161684 6621705202105 9459578860150 13243410404210 18919157720300 26486820808420 33108526010525 66217052021050 132434104042100