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1110113101300 = 2252741103375533
BaseRepresentation
bin10000001001110111111…
…001011010010111110100
310221010101200122112200011
4100021313321122113310
5121142002423220200
62205551240230004
7143126431445620
oct20116771322764
93833350575604
101110113101300
113988839a5755
1215b19276b304
13808b6045598
143ba3066c180
151dd237505ba
hex10277e5a5f4

1110113101300 has 144 divisors (see below), whose sum is σ = 2847617240832. Its totient is φ = 367720934400.

The previous prime is 1110113101249. The next prime is 1110113101319. The reversal of 1110113101300 is 31013110111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768334 + ... + 3143866.

It is an arithmetic number, because the mean of its divisors is an integer number (19775119728).

Almost surely, 21110113101300 is an apocalyptic number.

1110113101300 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 1110113101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423808620416).

1110113101300 is an abundant number, since it is smaller than the sum of its proper divisors (1737504139532).

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

1110113101300 is a wasteful number, since it uses less digits than its factorization.

1110113101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375698 (or 375691 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1110113101300 its reverse (31013110111), we get a palindrome (1141126211411).

The spelling of 1110113101300 in words is "one trillion, one hundred ten billion, one hundred thirteen million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 103 140 164 175 205 206 287 350 410 412 515 574 700 721 820 1025 1030 1148 1435 1442 2050 2060 2575 2870 2884 3605 4100 4223 5150 5740 7175 7210 8446 10300 14350 14420 16892 18025 21115 28700 29561 36050 42230 59122 72100 84460 105575 118244 147805 211150 295610 375533 422300 591220 739025 751066 1478050 1502132 1877665 2628731 2956100 3755330 5257462 7510660 9388325 10514924 13143655 15396853 18776650 26287310 30793706 37553300 38679899 52574620 61587412 65718275 76984265 77359798 107777971 131436550 153968530 154719596 193399495 215555942 262873100 270759293 307937060 384921325 386798990 431111884 538889855 541518586 769842650 773597980 966997475 1077779710 1083037172 1353796465 1539685300 1585875859 1933994950 2155559420 2694449275 2707592930 3171751718 3867989900 5388898550 5415185860 6343503436 6768982325 7929379295 10777797100 11101131013 13537964650 15858758590 22202262026 27075929300 31717517180 39646896475 44404524052 55505655065 79293792950 111011310130 158587585900 222022620260 277528275325 555056550650 1110113101300