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132032304100 = 225241437310259
BaseRepresentation
bin111101011110110111…
…1010001001111100100
3110121210120001222202001
41322331233101033210
54130400232212400
6140353234255044
712352612032124
oct1727557211744
9417716058661
10132032304100
1150aa38802a4
1221709427484
13c5b1c4c838
146567372c84
15367b4a7a6a
hex1ebdbd13e4

132032304100 has 144 divisors (see below), whose sum is σ = 304467387840. Its totient is φ = 49632307200.

The previous prime is 132032304083. The next prime is 132032304101. The reversal of 132032304100 is 1403230231.

132032304100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132032304101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12864771 + ... + 12875029.

It is an arithmetic number, because the mean of its divisors is an integer number (2114356860).

Almost surely, 2132032304100 is an apocalyptic number.

132032304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132032304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152233693920).

132032304100 is an abundant number, since it is smaller than the sum of its proper divisors (172435083740).

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

132032304100 is a wasteful number, since it uses less digits than its factorization.

132032304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 132032304100 its reverse (1403230231), we get a palindrome (133435534331).

The spelling of 132032304100 in words is "one hundred thirty-two billion, thirty-two million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 43 50 73 82 86 100 146 164 172 205 215 292 365 410 430 730 820 860 1025 1075 1460 1763 1825 2050 2150 2993 3139 3526 3650 4100 4300 5986 6278 7052 7300 8815 10259 11972 12556 14965 15695 17630 20518 29930 31390 35260 41036 44075 51295 59860 62780 74825 78475 88150 102590 128699 149650 156950 176300 205180 256475 257398 299300 313900 420619 441137 512950 514796 643495 748907 841238 882274 1025900 1286990 1497814 1682476 1764548 2103095 2205685 2573980 2995628 3217475 3744535 4206190 4411370 6434950 7489070 8412380 8822740 10515475 11028425 12869900 14978140 18086617 18722675 21030950 22056850 30705187 32203001 36173234 37445350 42061900 44113700 61410374 64406002 72346468 74890700 90433085 122820748 128812004 153525935 161015005 180866170 307051870 322030010 361732340 452165425 614103740 644060020 767629675 805075025 904330850 1320323041 1535259350 1610150050 1808661700 2640646082 3070518700 3220300100 5281292164 6601615205 13203230410 26406460820 33008076025 66016152050 132032304100