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11252225510000 = 24541181952771
BaseRepresentation
bin1010001110111101110011…
…1001111000101001110000
31110211200221221110011012222
42203233130321320221300
52433324024212310000
635533111231340212
72240642431510406
oct243573471705160
943750857404188
1011252225510000
113649050a56822
12131890b681668
136381075a6967
142ac879785476
15147a69a7da85
hexa3bdce78a70

11252225510000 has 100 divisors (see below), whose sum is σ = 27265859338344. Its totient is φ = 4497074400000.

The previous prime is 11252225509999. The next prime is 11252225510023. The reversal of 11252225510000 is 1552225211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×112522255100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11333615 + ... + 12286385.

Almost surely, 211252225510000 is an apocalyptic number.

11252225510000 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 11252225510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632929669172).

11252225510000 is an abundant number, since it is smaller than the sum of its proper divisors (16013633828344).

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

11252225510000 is an equidigital number, since it uses as much as digits as its factorization.

11252225510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953980 (or 953959 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 11252225510000 its reverse (1552225211), we get a palindrome (11253777735211).

The spelling of 11252225510000 in words is "eleven trillion, two hundred fifty-two billion, two hundred twenty-five million, five hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1181 1250 2000 2362 2500 4724 5000 5905 9448 10000 11810 18896 23620 29525 47240 59050 94480 118100 147625 236200 295250 472400 590500 738125 952771 1181000 1476250 1905542 2362000 2952500 3811084 4763855 5905000 7622168 9527710 11810000 15244336 19055420 23819275 38110840 47638550 76221680 95277100 119096375 190554200 238192750 381108400 476385500 595481875 952771000 1125222551 1190963750 1905542000 2250445102 2381927500 4500890204 4763855000 5626112755 9001780408 9527710000 11252225510 18003560816 22504451020 28130563775 45008902040 56261127550 90017804080 112522255100 140652818875 225044510200 281305637750 450089020400 562611275500 703264094375 1125222551000 1406528188750 2250445102000 2813056377500 5626112755000 11252225510000