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1132200201220 = 22511431116310267
BaseRepresentation
bin10000011110011100011…
…001000000110000000100
311000020101222102110202221
4100132130121000300010
5122022221222414340
62224043043342124
7144540655631134
oct20363431006004
94006358373687
101132200201220
113a7188551840
12163517681944
13829c5c4248a
143cb27c02ac4
151e6b783644a
hex1079c640c04

1132200201220 has 96 divisors (see below), whose sum is σ = 2602274605056. Its totient is φ = 410360764800.

The previous prime is 1132200201217. The next prime is 1132200201287. The reversal of 1132200201220 is 221020022311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1132200201194 and 1132200201203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110270527 + ... + 110280793.

It is an arithmetic number, because the mean of its divisors is an integer number (27107027136).

Almost surely, 21132200201220 is an apocalyptic number.

1132200201220 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 1132200201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301137302528).

1132200201220 is an abundant number, since it is smaller than the sum of its proper divisors (1470074403836).

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

1132200201220 is a wasteful number, since it uses less digits than its factorization.

1132200201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11879 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1132200201220 its reverse (221020022311), we get a palindrome (1353220223531).

The spelling of 1132200201220 in words is "one trillion, one hundred thirty-two billion, two hundred million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 862 1163 1724 2155 2326 4310 4652 4741 5815 8620 9482 10267 11630 12793 18964 20534 23260 23705 25586 41068 47410 51172 51335 63965 94820 102670 112937 127930 205340 225874 255860 451748 501253 564685 1002506 1129370 2005012 2258740 2506265 4425077 5012530 5513783 8850154 10025060 11027566 11940521 17700308 22055132 22125385 23881042 27568915 44250770 47762084 48675847 55137830 59702605 88501540 97351694 110275660 119405210 131345731 194703388 238810420 243379235 262691462 486758470 525382924 656728655 973516940 1313457310 2626914620 5146364551 10292729102 20585458204 25731822755 51463645510 56610010061 102927291020 113220020122 226440040244 283050050305 566100100610 1132200201220