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122013133000 = 23531121008373
BaseRepresentation
bin111000110100010001…
…1001010100011001000
3102122221022020100210221
41301220203022203020
53444340330224000
6132015124515424
711546412342553
oct1615043124310
9378838210727
10122013133000
1147822261800
121b791b4bb74
13b6762ac325
145c9685d69a
153291aae61a
hex1c688ca8c8

122013133000 has 96 divisors (see below), whose sum is σ = 313826156280. Its totient is φ = 44368368000.

The previous prime is 122013132971. The next prime is 122013133009. The reversal of 122013133000 is 331310221.

It can be written as a sum of positive squares in 4 ways, for example, as 33110169444 + 88902963556 = 181962^2 + 298166^2 .

It is not an unprimeable number, because it can be changed into a prime (122013133009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383187 + ... + 625186.

Almost surely, 2122013133000 is an apocalyptic number.

122013133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122013133000 is an abundant number, since it is smaller than the sum of its proper divisors (191813023280).

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

122013133000 is a wasteful number, since it uses less digits than its factorization.

122013133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008416 (or 1008391 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 122013133000 its reverse (331310221), we get a palindrome (122344443221).

The spelling of 122013133000 in words is "one hundred twenty-two billion, thirteen million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 1008373 2016746 4033492 5041865 8066984 10083730 11092103 20167460 22184206 25209325 40334920 44368412 50418650 55460515 88736824 100837300 110921030 122013133 126046625 201674600 221842060 244026266 252093250 277302575 443684120 488052532 504186500 554605150 610065665 976105064 1008373000 1109210300 1220131330 1386512875 2218420600 2440262660 2773025750 3050328325 4880525320 5546051500 6100656650 11092103000 12201313300 15251641625 24402626600 30503283250 61006566500 122013133000