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132203200133320 = 23529190135994229
BaseRepresentation
bin11110000011110011110100…
…110010000011100011001000
3122100002111120022202102212121
4132003303310302003203020
5114312004123213231240
61145101151155021024
736563236353640351
oct3603636462034310
9570074508672777
10132203200133320
1139140075a43798
12129b1a4829a774
13589c929122b24
142490951b50d28
151043d9692304a
hex783cf4c838c8

132203200133320 has 64 divisors (see below), whose sum is σ = 307730580894000. Its totient is φ = 51055093705728.

The previous prime is 132203200133317. The next prime is 132203200133321. The reversal of 132203200133320 is 23331002302231.

It can be written as a sum of positive squares in 8 ways, for example, as 1757517609796 + 130445682523524 = 1325714^2 + 11421282^2 .

It is a super-2 number, since 2×1322032001333202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132203200133321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19057966 + ... + 25052194.

Almost surely, 2132203200133320 is an apocalyptic number.

132203200133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132203200133320 is an abundant number, since it is smaller than the sum of its proper divisors (175527380760680).

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

132203200133320 is a wasteful number, since it uses less digits than its factorization.

132203200133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013282 (or 6013278 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 132203200133320 its reverse (23331002302231), we get a palindrome (155534202435551).

The spelling of 132203200133320 in words is "one hundred thirty-two trillion, two hundred three billion, two hundred million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 19013 38026 76052 95065 152104 190130 380260 551377 760520 1102754 2205508 2756885 4411016 5513770 5994229 11027540 11988458 22055080 23976916 29971145 47953832 59942290 119884580 173832641 239769160 347665282 695330564 869163205 1390661128 1738326410 3476652820 6953305640 113968275977 227936551954 455873103908 569841379885 911746207816 1139682759770 2279365519540 3305080003333 4558731039080 6610160006666 13220320013332 16525400016665 26440640026664 33050800033330 66101600066660 132203200133320