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13202331222000 = 2435319115809923
BaseRepresentation
bin1100000000011110100001…
…0000110011111111110000
31201202010112011101120011110
43000013220100303333300
53212301333243101000
644025022304513320
72531560034535114
oct300075020637760
951663464346143
1013202331222000
114230093877548
12159284a01b840
13749c88c6199b
14338dd3981744
1517d6525e8850
hexc01e8433ff0

13202331222000 has 160 divisors (see below), whose sum is σ = 44804543397120. Its totient is φ = 3335325753600.

The previous prime is 13202331221969. The next prime is 13202331222007. The reversal of 13202331222000 is 22213320231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202331222007) 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, 57790962 + ... + 58018961.

It is an arithmetic number, because the mean of its divisors is an integer number (280028396232).

Almost surely, 213202331222000 is an apocalyptic number.

13202331222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202331222000 is an abundant number, since it is smaller than the sum of its proper divisors (31602212175120).

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

13202331222000 is a wasteful number, since it uses less digits than its factorization.

13202331222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115809968 (or 115809952 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13202331222000 its reverse (22213320231), we get a palindrome (13224544542231).

The spelling of 13202331222000 in words is "thirteen trillion, two hundred two billion, three hundred thirty-one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 115809923 231619846 347429769 463239692 579049615 694859538 926479384 1158099230 1389719076 1737148845 1852958768 2200388537 2316198460 2779438152 2895248075 3474297690 4400777074 4632396920 5558876304 5790496150 6601165611 6948595380 8685744225 8801554148 9264793840 11001942685 11580992300 13202331222 13897190760 14476240375 17371488450 17603108296 22003885370 23161984600 26404662444 27794381520 28952480750 33005828055 34742976900 35206216592 43428721125 44007770740 46323969200 52809324888 55009713425 57904961500 66011656110 69485953800 86857442250 88015541480 105618649776 110019426850 115809923000 132023312220 138971907600 165029140275 173714884500 176031082960 220038853700 231619846000 264046624440 275048567125 330058280550 347429769000 440077707400 528093248880 550097134250 660116561100 694859538000 825145701375 880155414800 1100194268500 1320233122200 1650291402750 2200388537000 2640466244400 3300582805500 4400777074000 6601165611000 13202331222000