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132241433610 = 235112132215563
BaseRepresentation
bin111101100101000110…
…1000010010000001010
3110122100010120212111110
41323022031002100022
54131312301333420
6140430104511150
712361031432136
oct1731215022012
9418303525443
10132241433610
11510a0929400
122176747b4b6
13c616382400
1465870503c6
15368ea16ee0
hex1eca34240a

132241433610 has 144 divisors (see below), whose sum is σ = 377756078112. Its totient is φ = 29592351360.

The previous prime is 132241433593. The next prime is 132241433699. The reversal of 132241433610 is 16334142231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 505689 + ... + 721251.

It is an arithmetic number, because the mean of its divisors is an integer number (2623306098).

Almost surely, 2132241433610 is an apocalyptic number.

132241433610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132241433610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188878039056).

132241433610 is an abundant number, since it is smaller than the sum of its proper divisors (245514644502).

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

132241433610 is a wasteful number, since it uses less digits than its factorization.

132241433610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215621 (or 215597 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132241433610 its reverse (16334142231), we get a palindrome (148575575841).

The spelling of 132241433610 in words is "one hundred thirty-two billion, two hundred forty-one million, four hundred thirty-three thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 169 195 242 286 330 338 363 390 429 507 605 715 726 845 858 1014 1210 1430 1573 1690 1815 1859 2145 2535 3146 3630 3718 4290 4719 5070 5577 7865 9295 9438 11154 15730 18590 20449 23595 27885 40898 47190 55770 61347 102245 122694 204490 215563 306735 431126 613470 646689 1077815 1293378 2155630 2371193 2802319 3233445 4742386 5604638 6466890 7113579 8406957 11855965 14011595 14227158 16813914 23711930 26083123 28023190 30825509 35567895 36430147 42034785 52166246 61651018 71135790 72860294 78249369 84069570 92476527 109290441 130415615 154127545 156498738 182150735 184953054 218580882 260831230 308255090 339080599 364301470 391246845 400731617 462382635 546452205 678161198 782493690 801463234 924765270 1017241797 1092904410 1202194851 1695402995 2003658085 2034483594 2404389702 3390805990 4007316170 4408047787 5086208985 6010974255 8816095574 10172417970 12021948510 13224143361 22040238935 26448286722 44080477870 66120716805 132241433610