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1102002510140 = 225797111772649
BaseRepresentation
bin10000000010010100011…
…101111101100100111100
310220100110110010211012222
4100002110131331210330
5121023400120311030
62202130350144512
7142421435532350
oct20022435754474
93810413124188
101102002510140
113953a1762554
121596aa4b2138
137cbc292100c
143b4a1417460
151d9eb6ac3e5
hex1009477d93c

1102002510140 has 96 divisors (see below), whose sum is σ = 2674501065600. Its totient is φ = 373594374144.

The previous prime is 1102002510121. The next prime is 1102002510151. The reversal of 1102002510140 is 410152002011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15132536 + ... + 15205184.

It is an arithmetic number, because the mean of its divisors is an integer number (27859386100).

Almost surely, 21102002510140 is an apocalyptic number.

1102002510140 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 1102002510140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337250532800).

1102002510140 is an abundant number, since it is smaller than the sum of its proper divisors (1572498555460).

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

1102002510140 is a wasteful number, since it uses less digits than its factorization.

1102002510140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73879 (or 73877 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 1102002510140 its reverse (410152002011), we get a palindrome (1512154512151).

The spelling of 1102002510140 in words is "one trillion, one hundred two billion, two million, five hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1117 1358 1940 2234 2716 3395 4468 5585 6790 7819 11170 13580 15638 22340 31276 39095 72649 78190 108349 145298 156380 216698 290596 363245 433396 508543 541745 726490 758443 1017086 1083490 1452980 1516886 2034172 2166980 2542715 3033772 3792215 5085430 7046953 7584430 10170860 14093906 15168860 28187812 35234765 49328671 70469530 81148933 98657342 140939060 162297866 197314684 246643355 324595732 405744665 493286710 568042531 811489330 986573420 1136085062 1622978660 2272170124 2840212655 5680425310 7871446501 11360850620 15742893002 31485786004 39357232505 55100125507 78714465010 110200251014 157428930020 220400502028 275500627535 551001255070 1102002510140