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1125353134140 = 2235131871916421
BaseRepresentation
bin10000011000000100010…
…001100001100000111100
310222120201210110102111220
4100120010101201200330
5121414210400243030
62220551411113340
7144206204545344
oct20300421414074
93876653412456
101125353134140
113a4294562a14
121621265a2850
13821745243b1
143c6786d5d24
151e41667aa10
hex1060446183c

1125353134140 has 96 divisors (see below), whose sum is σ = 3175599651840. Its totient is φ = 297751084800.

The previous prime is 1125353134121. The next prime is 1125353134141. The reversal of 1125353134140 is 414313535211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125353134141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68523130 + ... + 68539550.

It is an arithmetic number, because the mean of its divisors is an integer number (33079163040).

Almost surely, 21125353134140 is an apocalyptic number.

1125353134140 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 1125353134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587799825920).

1125353134140 is an abundant number, since it is smaller than the sum of its proper divisors (2050246517700).

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

1125353134140 is a wasteful number, since it uses less digits than its factorization.

1125353134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25283 (or 25281 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 1125353134140 its reverse (414313535211), we get a palindrome (1539666669351).

The spelling of 1125353134140 in words is "one trillion, one hundred twenty-five billion, three hundred fifty-three million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 8719 16421 17438 26157 32842 34876 43595 49263 52314 65684 82105 87190 98526 104628 130785 164210 174380 197052 246315 261570 328420 492630 523140 985260 1142189 2151151 2284378 3426567 4302302 4568756 5710945 6453453 6853134 8604604 10755755 11421890 12906906 13706268 17132835 21511510 22843780 25813812 32267265 34265670 43023020 64534530 68531340 129069060 143174699 286349398 429524097 572698796 715873495 859048194 1431746990 1718096388 2147620485 2863493980 4295240970 8590481940 18755885569 37511771138 56267656707 75023542276 93779427845 112535313414 187558855690 225070626828 281338283535 375117711380 562676567070 1125353134140