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13022021210000 = 245411210762001
BaseRepresentation
bin1011110101111110110011…
…1100101100111110010000
31201002220010001021220101212
42331133230330230332100
53201323044412210000
643410122311315252
72512544552655665
oct275375474547620
951086101256355
1013022021210000
114170676542800
12156390867bb28
13735c820254aa
143303aa927a6c
15178aecaa4c35
hexbd7ecf2cf90

13022021210000 has 150 divisors (see below), whose sum is σ = 34654324446126. Its totient is φ = 4735280000000.

The previous prime is 13022021209957. The next prime is 13022021210047. The reversal of 13022021210000 is 1212022031.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 9326891568016 + 3695129641984 = 3053996^2 + 1922272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4171001 + ... + 6591000.

Almost surely, 213022021210000 is an apocalyptic number.

13022021210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022021210000 is an abundant number, since it is smaller than the sum of its proper divisors (21632303236126).

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

13022021210000 is a wasteful number, since it uses less digits than its factorization.

13022021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762051 (or 10762019 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13022021210000 its reverse (1212022031), we get a palindrome (13023233232031).

The spelling of 13022021210000 in words is "thirteen trillion, twenty-two billion, twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 55000 60500 75625 110000 121000 151250 242000 302500 605000 1210000 10762001 21524002 43048004 53810005 86096008 107620010 118382011 172192016 215240020 236764022 269050025 430480040 473528044 538100050 591910055 860960080 947056088 1076200100 1183820110 1302202121 1345250125 1894112176 2152400200 2367640220 2604404242 2690500250 2959550275 4304800400 4735280440 5208808484 5381000500 5919100550 6511010605 6726250625 9470560880 10417616968 10762001000 11838201100 13022021210 13452501250 14797751375 20835233936 21524002000 23676402200 26044042420 26905002500 29595502750 32555053025 47352804400 52088084840 53810005000 59191005500 65110106050 73988756875 104176169680 107620010000 118382011000 130220212100 147977513750 162775265125 236764022000 260440424200 295955027500 325550530250 520880848400 591910055000 651101060500 813876325625 1183820110000 1302202121000 1627752651250 2604404242000 3255505302500 6511010605000 13022021210000