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132201002505450 = 23522347815300663
BaseRepresentation
bin11110000011110001110001…
…110010110001010011101010
3122100002021220011112101011210
4132003301301302301103222
5114311440123120133300
61145100145132133550
736563131040261124
oct3603616162612352
9570067804471153
10132201002505450
113913a14849440a
12129b15343072b6
13589c668a420c8
1424907c3d30214
151043cb8a24050
hex783c71cb14ea

132201002505450 has 96 divisors (see below), whose sum is σ = 349392207753216. Its totient is φ = 33003370797760.

The previous prime is 132201002505389. The next prime is 132201002505457. The reversal of 132201002505450 is 54505200102231.

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

It is not an unprimeable number, because it can be changed into a prime (132201002505457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407488182 + ... + 407812481.

It is an arithmetic number, because the mean of its divisors is an integer number (3639502164096).

Almost surely, 2132201002505450 is an apocalyptic number.

132201002505450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132201002505450 is an abundant number, since it is smaller than the sum of its proper divisors (217191205247766).

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

132201002505450 is a wasteful number, since it uses less digits than its factorization.

132201002505450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815300748 (or 815300743 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 132201002505450 its reverse (54505200102231), we get a palindrome (186706202607681).

The spelling of 132201002505450 in words is "one hundred thirty-two trillion, two hundred one billion, two million, five hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 47 50 69 75 94 115 138 141 150 230 235 282 345 470 575 690 705 1081 1150 1175 1410 1725 2162 2350 3243 3450 3525 5405 6486 7050 10810 16215 27025 32430 54050 81075 162150 815300663 1630601326 2445901989 4076503315 4891803978 8153006630 12229509945 18751915249 20382516575 24459019890 37503830498 38319131161 40765033150 56255745747 61147549725 76638262322 93759576245 112511491494 114957393483 122295099450 187519152490 191595655805 229914786966 281278728735 383191311610 468797881225 562557457470 574786967415 881340016703 937595762450 957978279025 1149573934830 1406393643675 1762680033406 1915956558050 2644020050109 2812787287350 2873934837075 4406700083515 5288040100218 5747869674150 8813400167030 13220100250545 22033500417575 26440200501090 44067000835150 66100501252725 132201002505450