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132201341233410 = 23573397788319289
BaseRepresentation
bin11110000011110010000101…
…111110111010100100000010
3122100002022202202220112120210
4132003302011332322210002
5114311441321323432120
61145100242512214550
736563142322360161
oct3603620576724402
9570068682815523
10132201341233410
113913a30170a779
12129b160983a456
13589c6c0c7c757
142490816d053d8
151043cd8632ce0
hex783c85fba902

132201341233410 has 128 divisors (see below), whose sum is σ = 322497336003840. Its totient is φ = 34676982337536.

The previous prime is 132201341233363. The next prime is 132201341233417. The reversal of 132201341233410 is 14332143102231.

It is a super-2 number, since 2×1322013412334102 (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132201341233417) 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 63 ways as a sum of consecutive naturals, for example, 6853707046 + ... + 6853726334.

It is an arithmetic number, because the mean of its divisors is an integer number (2519510437530).

Almost surely, 2132201341233410 is an apocalyptic number.

132201341233410 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 132201341233410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161248668001920).

132201341233410 is an abundant number, since it is smaller than the sum of its proper divisors (190295994770430).

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

132201341233410 is a wasteful number, since it uses less digits than its factorization.

132201341233410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27652.

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

Adding to 132201341233410 its reverse (14332143102231), we get a palindrome (146533484335641).

The spelling of 132201341233410 in words is "one hundred thirty-two trillion, two hundred one billion, three hundred forty-one million, two hundred thirty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 397 438 730 794 1095 1191 1985 2190 2382 3970 5955 7883 11910 15766 19289 23649 28981 38578 39415 47298 57867 57962 78830 86943 96445 115734 118245 144905 173886 192890 236490 289335 289810 434715 575459 578670 869430 1150918 1408097 1726377 2816194 2877295 3129551 3452754 4224291 5754590 6259102 7040485 7657733 8448582 8631885 9388653 14080970 15315466 15647755 17263770 18777306 21121455 22973199 31295510 38288665 42242910 45946398 46943265 76577330 93886530 114865995 152055187 228457223 229731990 304110374 456165561 456914446 559014509 685371669 760275935 912331122 1118029018 1142286115 1370743338 1520551870 1677043527 2280827805 2284572230 2795072545 3354087054 3426858345 4561655610 5590145090 6853716690 8385217635 11100028651 16770435270 22200057302 33300085953 55500143255 60365909239 66600171906 111000286510 120731818478 166500429765 181097727717 301829546195 333000859530 362195455434 603659092390 905488638585 1810977277170 4406711374447 8813422748894 13220134123341 22033556872235 26440268246682 44067113744470 66100670616705 132201341233410