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1102013010 = 23257712347
BaseRepresentation
bin100000110101111…
…0110001001010010
32211210122001122200
41001223312021102
54224103404020
6301203544030
736210645630
oct10153661122
92753561580
101102013010
1151606a75a
1226908b016
13147407007
14a6504350
1566b32590
hex41af6252

1102013010 has 144 divisors (see below), whose sum is σ = 3330894528. Its totient is φ = 247625280.

The previous prime is 1102012997. The next prime is 1102013027. The reversal of 1102013010 is 103102011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1102012983 and 1102013001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3175657 + ... + 3176003.

It is an arithmetic number, because the mean of its divisors is an integer number (23131212).

Almost surely, 21102013010 is an apocalyptic number.

1102013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665447264).

1102013010 is an abundant number, since it is smaller than the sum of its proper divisors (2228881518).

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

1102013010 is a wasteful number, since it uses less digits than its factorization.

1102013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1102013010 is about 33196.5812998869. The cubic root of 1102013010 is about 1032.9094257297.

Adding to 1102013010 its reverse (103102011), we get a palindrome (1205115021).

The spelling of 1102013010 in words is "one billion, one hundred two million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 347 355 426 497 630 639 694 710 994 1041 1065 1278 1491 1735 2082 2130 2429 2485 2982 3123 3195 3470 4473 4858 4970 5041 5205 6246 6390 7287 7455 8946 10082 10410 12145 14574 14910 15123 15615 21861 22365 24290 24637 25205 30246 31230 35287 36435 43722 44730 45369 49274 50410 70574 72870 73911 75615 90738 105861 109305 123185 147822 151230 172459 176435 211722 218610 221733 226845 246370 317583 344918 352870 369555 443466 453690 517377 529305 635166 739110 862295 1034754 1058610 1108665 1552131 1587915 1724590 1749227 2217330 2586885 3104262 3175830 3498454 5173770 5247681 7760655 8746135 10495362 12244589 15521310 15743043 17492270 24489178 26238405 31486086 36733767 52476810 61222945 73467534 78715215 110201301 122445890 157430430 183668835 220402602 367337670 551006505 1102013010