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1102115452240 = 2451117407918061
BaseRepresentation
bin10000000010011011001…
…100110011010101010000
310220100202022122212122201
4100002123030303111100
5121024113023432430
62202145503012544
7142424306526535
oct20023314632520
93810668585581
101102115452240
1139544a493630
1215972029a154
137cc1014656a
143b4b2416d8c
151da0656b8ca
hex1009b333550

1102115452240 has 160 divisors (see below), whose sum is σ = 2960688360960. Its totient is φ = 377081241600.

The previous prime is 1102115452237. The next prime is 1102115452241. The reversal of 1102115452240 is 422545112011.

It is a junction number, because it is equal to n+sod(n) for n = 1102115452199 and 1102115452208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102115452241) 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, 61012810 + ... + 61030870.

It is an arithmetic number, because the mean of its divisors is an integer number (18504302256).

Almost surely, 21102115452240 is an apocalyptic number.

1102115452240 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 1102115452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480344180480).

1102115452240 is an abundant number, since it is smaller than the sum of its proper divisors (1858572908720).

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

1102115452240 is a wasteful number, since it uses less digits than its factorization.

1102115452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22181 (or 22175 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 1102115452240 in words is "one trillion, one hundred two billion, one hundred fifteen million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 4079 7480 8158 14960 16316 18061 20395 32632 36122 40790 44869 65264 69343 72244 81580 89738 90305 138686 144488 163160 179476 180610 198671 224345 277372 288976 307037 326320 346715 358952 361220 397342 448690 554744 614074 693430 717904 722440 762773 794684 897380 993355 1109488 1228148 1386860 1444880 1525546 1535185 1589368 1794760 1986710 2456296 2773720 3051092 3070370 3178736 3377407 3589520 3813865 3973420 4912592 5547440 6102184 6140740 6754814 7627730 7946840 12204368 12281480 13509628 15255460 15893680 16887035 24562960 27019256 30510920 33774070 54038512 61021840 67548140 73670819 135096280 147341638 270192560 294683276 368354095 589366552 736708190 810379009 1178733104 1252403923 1473416380 1620758018 2504807846 2946832760 3241516036 4051895045 5009615692 5893665520 6262019615 6483032072 8103790090 10019231384 12524039230 12966064144 13776443153 16207580180 20038462768 25048078460 27552886306 32415160360 50096156920 55105772612 64830320720 68882215765 100192313840 110211545224 137764431530 220423090448 275528863060 551057726120 1102115452240