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1131030113120 = 25541911189257
BaseRepresentation
bin10000011101010110101…
…001011110101101100000
311000010101102200211122122
4100131112221132231200
5122012322202104440
62223331004323412
7144466660223435
oct20352651365540
94003342624578
101131030113120
113a6738016286
1216324b843568
138286a6c1b5b
143ca5665bb8c
151e649c587b5
hex10756a5eb60

1131030113120 has 96 divisors (see below), whose sum is σ = 2740249927296. Its totient is φ = 440890777600.

The previous prime is 1131030113119. The next prime is 1131030113177. The reversal of 1131030113120 is 213110301311.

It is a super-2 number, since 2×11310301131202 (a number of 25 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 15 ways as a sum of consecutive naturals, for example, 5881532 + ... + 6070788.

It is an arithmetic number, because the mean of its divisors is an integer number (28544270076).

Almost surely, 21131030113120 is an apocalyptic number.

1131030113120 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 1131030113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370124963648).

1131030113120 is an abundant number, since it is smaller than the sum of its proper divisors (1609219814176).

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

1131030113120 is a wasteful number, since it uses less digits than its factorization.

1131030113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190224 (or 190216 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1131030113120 its reverse (213110301311), we get a palindrome (1344140414431).

The spelling of 1131030113120 in words is "one trillion, one hundred thirty-one billion, thirty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 911 1312 1640 1822 3280 3644 4555 6560 7288 9110 14576 18220 29152 36440 37351 72880 74702 145760 149404 186755 189257 298808 373510 378514 597616 747020 757028 946285 1195232 1494040 1514056 1892570 2988080 3028112 3785140 5976160 6056224 7570280 7759537 15140560 15519074 30281120 31038148 38797685 62076296 77595370 124152592 155190740 172413127 248305184 310381480 344826254 620762960 689652508 862065635 1241525920 1379305016 1724131270 2758610032 3448262540 5517220064 6896525080 7068938207 13793050160 14137876414 27586100320 28275752828 35344691035 56551505656 70689382070 113103011312 141378764140 226206022624 282757528280 565515056560 1131030113120