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1131123232300 = 225219761782297
BaseRepresentation
bin10000011101011100001…
…100101100111000101100
311000010121220220210011011
4100131130030230320230
5122013020021413200
62223344132235004
7144502200560065
oct20353414547054
94003556823134
101131123232300
113a6785638086
12163276a6ba64
1382883a96769
143ca64b7b56c
151e652eee5ba
hex1075c32ce2c

1131123232300 has 72 divisors (see below), whose sum is σ = 2587122069840. Its totient is φ = 428072371200.

The previous prime is 1131123232277. The next prime is 1131123232313. The reversal of 1131123232300 is 32323211311.

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 23 ways as a sum of consecutive naturals, for example, 1054752 + ... + 1837048.

It is an arithmetic number, because the mean of its divisors is an integer number (35932250970).

Almost surely, 21131123232300 is an apocalyptic number.

1131123232300 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 1131123232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293561034920).

1131123232300 is an abundant number, since it is smaller than the sum of its proper divisors (1455998837540).

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

1131123232300 is a wasteful number, since it uses less digits than its factorization.

1131123232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783091 (or 783084 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1131123232300 its reverse (32323211311), we get a palindrome (1163446443611).

The spelling of 1131123232300 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 761 950 1522 1900 3044 3805 7610 14459 15220 19025 28918 38050 57836 72295 76100 144590 289180 361475 722950 782297 1445900 1564594 3129188 3911485 7822970 14863643 15645940 19557425 29727286 39114850 59454572 74318215 78229700 148636430 297272860 371591075 595328017 743182150 1190656034 1486364300 2381312068 2976640085 5953280170 11311232323 11906560340 14883200425 22622464646 29766400850 45244929292 56556161615 59532801700 113112323230 226224646460 282780808075 565561616150 1131123232300