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11202231133320 = 23351916013068869
BaseRepresentation
bin1010001100000011100100…
…0000011110010010001000
31110122220220202012200100020
42203000321000132102020
52432014132132231240
635454122310340440
72234222505355233
oct243007100362210
943586822180306
1011202231133320
113629926484647
12130b09865a720
1363349aa55656
142aa295aba41a
151465e094a0d0
hexa303901e488

11202231133320 has 128 divisors (see below), whose sum is σ = 35397574128000. Its totient is φ = 2828268748800.

The previous prime is 11202231133283. The next prime is 11202231133321. The reversal of 11202231133320 is 2333113220211.

It is a super-2 number, since 2×112022311333202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11202231133321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115846 + ... + 5184714.

It is an arithmetic number, because the mean of its divisors is an integer number (276543547875).

Almost surely, 211202231133320 is an apocalyptic number.

11202231133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202231133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698787064000).

11202231133320 is an abundant number, since it is smaller than the sum of its proper divisors (24195342994680).

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

11202231133320 is a wasteful number, since it uses less digits than its factorization.

11202231133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070503 (or 3070499 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11202231133320 its reverse (2333113220211), we get a palindrome (13535344353531).

The spelling of 11202231133320 in words is "eleven trillion, two hundred two billion, two hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1601 2280 3202 4803 6404 8005 9606 12808 16010 19212 24015 30419 32020 38424 48030 60838 64040 91257 96060 121676 152095 182514 192120 243352 304190 365028 456285 608380 730056 912570 1216760 1825140 3068869 3650280 6137738 9206607 12275476 15344345 18413214 24550952 30688690 36826428 46033035 58308511 61377380 73652856 92066070 116617022 122754760 174925533 184132140 233234044 291542555 349851066 368264280 466468088 583085110 699702132 874627665 1166170220 1399404264 1749255330 2332340440 3498510660 4913259269 6997021320 9826518538 14739777807 19653037076 24566296345 29479555614 39306074152 49132592690 58959111228 73698889035 93351926111 98265185380 117918222456 147397778070 186703852222 196530370760 280055778333 294795556140 373407704444 466759630555 560111556666 589591112280 746815408888 933519261110 1120223113332 1400278891665 1867038522220 2240446226664 2800557783330 3734077044440 5601115566660 11202231133320