Search a number
-
+
132104034100 = 225219373076121
BaseRepresentation
bin111101100001000000…
…0111001011100110100
3110121222120001020210201
41323002000321130310
54131022113042400
6140404315530244
712354442522363
oct1730200713464
9417876036721
10132104034100
1151030313095
1221729459984
13c5c3a7591c
146572ac57da
15368292606a
hex1ec2039734

132104034100 has 144 divisors (see below), whose sum is σ = 310969193920. Its totient is φ = 48540902400.

The previous prime is 132104034053. The next prime is 132104034169. The reversal of 132104034100 is 1430401231.

132104034100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21579040 + ... + 21585160.

Almost surely, 2132104034100 is an apocalyptic number.

132104034100 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 132104034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155484596960).

132104034100 is an abundant number, since it is smaller than the sum of its proper divisors (178865159820).

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

132104034100 is a wasteful number, since it uses less digits than its factorization.

132104034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132104034100 its reverse (1430401231), we get a palindrome (133534435331).

The spelling of 132104034100 in words is "one hundred thirty-two billion, one hundred four million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 185 190 307 370 380 475 614 703 740 925 950 1228 1406 1535 1850 1900 2812 3070 3515 3700 5833 6121 6140 7030 7675 11359 11666 12242 14060 15350 17575 22718 23332 24484 29165 30605 30700 35150 45436 56795 58330 61210 70300 113590 116299 116660 122420 145825 153025 215821 226477 227180 232598 283975 291650 306050 431642 452954 465196 567950 581495 583300 612100 863284 905908 1079105 1132385 1135900 1162990 1879147 2158210 2264770 2325980 2907475 3758294 4303063 4316420 4529540 5395525 5661925 5814950 7516588 8606126 9395735 10791050 11323850 11629900 17212252 18791470 21515315 21582100 22647700 35703793 37582940 43030630 46978675 69528439 71407586 86061260 93957350 107576575 139056878 142815172 178518965 187914700 215153150 278113756 347642195 357037930 430306300 695284390 714075860 892594825 1321040341 1390568780 1738210975 1785189650 2642080682 3476421950 3570379300 5284161364 6605201705 6952843900 13210403410 26420806820 33026008525 66052017050 132104034100