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1124112531040 = 255101257270667
BaseRepresentation
bin10000010110111010010…
…100111111111001100000
310222110112100001020222221
4100112322110333321200
5121404140301443130
62220224332440424
7144133361600602
oct20267224777140
93873470036887
101124112531040
113a38082444a4
12161a3b019114
13820074b4a15
143c59ba37172
151e3927be87a
hex105ba53fe60

1124112531040 has 96 divisors (see below), whose sum is σ = 2692455855264. Its totient is φ = 443459174400.

The previous prime is 1124112531011. The next prime is 1124112531077. The reversal of 1124112531040 is 401352114211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1124112530996 and 1124112531014.

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, 4017787 + ... + 4288453.

It is an arithmetic number, because the mean of its divisors is an integer number (28046415159).

Almost surely, 21124112531040 is an apocalyptic number.

1124112531040 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 1124112531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346227927632).

1124112531040 is an abundant number, since it is smaller than the sum of its proper divisors (1568343324224).

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

1124112531040 is a wasteful number, since it uses less digits than its factorization.

1124112531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271040 (or 271032 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1124112531040 its reverse (401352114211), we get a palindrome (1525464645251).

The spelling of 1124112531040 in words is "one trillion, one hundred twenty-four billion, one hundred twelve million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 257 404 505 514 808 1010 1028 1285 1616 2020 2056 2570 3232 4040 4112 5140 8080 8224 10280 16160 20560 25957 41120 51914 103828 129785 207656 259570 270667 415312 519140 541334 830624 1038280 1082668 1353335 2076560 2165336 2706670 4153120 4330672 5413340 8661344 10826680 21653360 27337367 43306720 54674734 69561419 109349468 136686835 139122838 218698936 273373670 278245676 347807095 437397872 546747340 556491352 695614190 874795744 1093494680 1112982704 1391228380 2186989360 2225965408 2782456760 4373978720 5564913520 7025703319 11129827040 14051406638 28102813276 35128516595 56205626552 70257033190 112411253104 140514066380 224822506208 281028132760 562056265520 1124112531040