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1023112510540 = 2251271514795569
BaseRepresentation
bin11101110001101100100…
…00011111110001001100
310121210211110200121111221
432320312100133301030
5113230313300314130
62102002243453124
7133626452564461
oct16706620376114
93553743617457
101023112510540
1136499938117a
121463523871a4
137562c75b993
1437739c61668
151b93089c87a
hexee3641fc4c

1023112510540 has 96 divisors (see below), whose sum is σ = 2184737587200. Its totient is φ = 402419404800.

The previous prime is 1023112510523. The next prime is 1023112510543. The reversal of 1023112510540 is 450152113201.

It is a super-2 number, since 2×10231125105402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023112510543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183712876 + ... + 183718444.

It is an arithmetic number, because the mean of its divisors is an integer number (22757683200).

Almost surely, 21023112510540 is an apocalyptic number.

1023112510540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023112510540 is an abundant number, since it is smaller than the sum of its proper divisors (1161625076660).

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

1023112510540 is a wasteful number, since it uses less digits than its factorization.

1023112510540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 1023112510540 its reverse (450152113201), we get a palindrome (1473264623741).

The spelling of 1023112510540 in words is "one trillion, twenty-three billion, one hundred twelve million, five hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 127 151 254 302 479 508 604 635 755 958 1270 1510 1916 2395 2540 3020 4790 5569 9580 11138 19177 22276 27845 38354 55690 60833 72329 76708 95885 111380 121666 144658 191770 243332 289316 304165 361645 383540 608330 707263 723290 840919 1216660 1414526 1446580 1681838 2667551 2829052 3363676 3536315 4204595 5335102 7072630 8409190 9185783 10670204 13337755 14145260 16818380 18371566 26675510 36743132 45928915 53351020 91857830 106796713 183715660 213593426 338778977 402800201 427186852 533983565 677557954 805600402 1067967130 1355115908 1611200804 1693894885 2014001005 2135934260 3387789770 4028002010 6775579540 8056004020 51155625527 102311251054 204622502108 255778127635 511556255270 1023112510540