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1131003023232 = 273127115120149
BaseRepresentation
bin10000011101010101000…
…010001000111110000000
311000010022112201112022110
4100131111002020332000
5122012243233220412
62223324155535320
7144466211035245
oct20352502107600
94003275645273
101131003023232
113a67237a3245
1216324275a540
1382864bc8634
143ca52c095cc
151e6476a6d3c
hex10755088f80

1131003023232 has 128 divisors (see below), whose sum is σ = 3030663168000. Its totient is φ = 373688985600.

The previous prime is 1131003023219. The next prime is 1131003023257. The reversal of 1131003023232 is 2323203001311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1131003023199 and 1131003023208.

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, 56121894 + ... + 56142042.

It is an arithmetic number, because the mean of its divisors is an integer number (23677056000).

Almost surely, 21131003023232 is an apocalyptic number.

1131003023232 is a gapful number since it is divisible by the number (12) 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 1131003023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515331584000).

1131003023232 is an abundant number, since it is smaller than the sum of its proper divisors (1899660144768).

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

1131003023232 is a wasteful number, since it uses less digits than its factorization.

1131003023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21444 (or 21432 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1131003023232 its reverse (2323203001311), we get a palindrome (3454206024543).

The spelling of 1131003023232 in words is "one trillion, one hundred thirty-one billion, three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1151 1524 2032 2302 3048 3453 4064 4604 6096 6906 8128 9208 12192 13812 16256 18416 20149 24384 27624 36832 40298 48768 55248 60447 73664 80596 110496 120894 146177 147328 161192 220992 241788 292354 322384 438531 441984 483576 584708 644768 877062 967152 1169416 1289536 1754124 1934304 2338832 2558923 2579072 3508248 3868608 4677664 5117846 7016496 7676769 7737216 9355328 10235692 14032992 15353538 18710656 20471384 23191499 28065984 30707076 40942768 46382998 56131968 61414152 69574497 81885536 92765996 122828304 139148994 163771072 185531992 245656608 278297988 327542144 371063984 491313216 556595976 742127968 982626432 1113191952 1484255936 2226383904 2945320373 2968511872 4452767808 5890640746 8835961119 8905535616 11781281492 17671922238 23562562984 35343844476 47125125968 70687688952 94250251936 141375377904 188500503872 282750755808 377001007744 565501511616 1131003023232