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1102001312040 = 233571149868073
BaseRepresentation
bin10000000010010100011…
…001011001000100101000
310220100110100212221201220
4100002110121121010220
5121023344313441130
62202130304342040
7142421422412346
oct20022431310450
93810410787656
101102001312040
113953a1014392
121596aa014920
137cbc25c1895
143b4a11c4996
151d9eb522410
hex10094659128

1102001312040 has 128 divisors (see below), whose sum is σ = 3375071712000. Its totient is φ = 287783229440.

The previous prime is 1102001312033. The next prime is 1102001312053. The reversal of 1102001312040 is 402131002011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 835444 + ... + 1703516.

It is an arithmetic number, because the mean of its divisors is an integer number (26367747750).

Almost surely, 21102001312040 is an apocalyptic number.

1102001312040 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 1102001312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687535856000).

1102001312040 is an abundant number, since it is smaller than the sum of its proper divisors (2273070399960).

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

1102001312040 is a wasteful number, since it uses less digits than its factorization.

1102001312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868307 (or 868303 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1102001312040 its reverse (402131002011), we get a palindrome (1504132314051).

The spelling of 1102001312040 in words is "one trillion, one hundred two billion, one million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 149 213 284 298 355 426 447 568 596 710 745 852 894 1065 1192 1420 1490 1704 1788 2130 2235 2840 2980 3576 4260 4470 5960 8520 8940 10579 17880 21158 31737 42316 52895 63474 84632 105790 126948 158685 211580 253896 317370 423160 634740 868073 1269480 1736146 2604219 3472292 4340365 5208438 6944584 8680730 10416876 13021095 17361460 20833752 26042190 34722920 52084380 61633183 104168760 123266366 129342877 184899549 246532732 258685754 308165915 369799098 388028631 493065464 517371508 616331830 646714385 739598196 776057262 924497745 1034743016 1232663660 1293428770 1479196392 1552114524 1848995490 1940143155 2465327320 2586857540 3104229048 3697990980 3880286310 5173715080 7395981960 7760572620 9183344267 15521145240 18366688534 27550032801 36733377068 45916721335 55100065602 73466754136 91833442670 110200131204 137750164005 183666885340 220400262408 275500328010 367333770680 551000656020 1102001312040