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11202201201000 = 233534386838769
BaseRepresentation
bin1010001100000011011100…
…1110010010100101101000
31110122220211122212221220210
42203000313032102211220
52432014102001413000
635454115321021120
72234221663061055
oct243006716224550
943586748787823
1011202201201000
11362991059aa97
12130b08a6247a0
136334947a5414
142aa291b2802c
151465dced6350
hexa3037392968

11202201201000 has 128 divisors (see below), whose sum is σ = 35763679036800. Its totient is φ = 2917782604800.

The previous prime is 11202201200959. The next prime is 11202201201011. The reversal of 11202201201000 is 10210220211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43290385 + ... + 43548384.

It is an arithmetic number, because the mean of its divisors is an integer number (279403742475).

Almost surely, 211202201201000 is an apocalyptic number.

11202201201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202201201000 is an abundant number, since it is smaller than the sum of its proper divisors (24561477835800).

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

11202201201000 is a wasteful number, since it uses less digits than its factorization.

11202201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86838836 (or 86838822 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202201201000 its reverse (10210220211), we get a palindrome (11212411421211).

The spelling of 11202201201000 in words is "eleven trillion, two hundred two billion, two hundred one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 129000 86838769 173677538 260516307 347355076 434193845 521032614 694710152 868387690 1042065228 1302581535 1736775380 2084130456 2170969225 2605163070 3473550760 3734067067 4341938450 5210326140 6512907675 7468134134 8683876900 10420652280 10854846125 11202201201 13025815350 14936268268 17367753800 18670335335 21709692250 22404402402 26051630700 29872536536 32564538375 37340670670 43419384500 44808804804 52103261400 56011006005 65129076750 74681341340 86838769000 89617609608 93351676675 112022012010 130258153500 149362682680 186703353350 224044024020 260516307000 280055030025 373406706700 448088048040 466758383375 560110060050 746813413400 933516766750 1120220120100 1400275150125 1867033533500 2240440240200 2800550300250 3734067067000 5601100600500 11202201201000