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132430402100 = 22521012131991
BaseRepresentation
bin111101101010101110…
…1111001001000110100
3110122211022011110112102
41323111131321020310
54132204140331400
6140500535041232
712365514562523
oct1732535711064
9418738143472
10132430402100
1151188567207
12217ba810218
13c646576499
1465a41a04ba
1536a13e29d5
hex1ed5779234

132430402100 has 108 divisors (see below), whose sum is σ = 292758178944. Its totient is φ = 51994800000.

The previous prime is 132430402051. The next prime is 132430402177. The reversal of 132430402100 is 1204034231.

It is a super-2 number, since 2×1324304021002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133632605 + ... + 133633595.

Almost surely, 2132430402100 is an apocalyptic number.

132430402100 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 132430402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146379089472).

132430402100 is an abundant number, since it is smaller than the sum of its proper divisors (160327776844).

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

132430402100 is a wasteful number, since it uses less digits than its factorization.

132430402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132430402100 its reverse (1204034231), we get a palindrome (133634436331).

The spelling of 132430402100 in words is "one hundred thirty-two billion, four hundred thirty million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 131 202 262 404 505 524 655 991 1010 1310 1982 2020 2525 2620 3275 3964 4955 5050 6550 9910 10100 10201 13100 13231 19820 20402 24775 26462 40804 49550 51005 52924 66155 99100 100091 102010 129821 132310 200182 204020 255025 259642 264620 330775 400364 500455 510050 519284 649105 661550 1000910 1020100 1298210 1323100 1336331 2001820 2502275 2596420 2672662 3245525 5004550 5345324 6491050 6681655 10009100 10109191 12982100 13111921 13363310 20218382 26223842 26726620 33408275 40436764 50545955 52447684 65559605 66816550 101091910 131119210 133633100 202183820 252729775 262238420 327798025 505459550 655596050 1010919100 1311192100 1324304021 2648608042 5297216084 6621520105 13243040210 26486080420 33107600525 66215201050 132430402100