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11102303202000 = 2435310627174121
BaseRepresentation
bin1010000110001111010011…
…0101101010101011010000
31110022100222121011210201220
42201203310311222223100
52423400004104431000
635340154440125040
72224054265100423
oct241436465525320
943270877153656
1011102303202000
1135a05077a283a
1212b384aa66780
13626c3415a1ca
142a54d64599ba
15143be2be91a0
hexa18f4d6aad0

11102303202000 has 160 divisors (see below), whose sum is σ = 35797399307904. Its totient is φ = 2960318592000.

The previous prime is 11102303201953. The next prime is 11102303202007. The reversal of 11102303202000 is 20230320111.

It is a super-2 number, since 2×111023032020002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102303202007) 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, 63674940 + ... + 63849060.

Almost surely, 211102303202000 is an apocalyptic number.

11102303202000 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 11102303202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17898699653952).

11102303202000 is an abundant number, since it is smaller than the sum of its proper divisors (24695096105904).

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

11102303202000 is a wasteful number, since it uses less digits than its factorization.

11102303202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184774 (or 184758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11102303202000 its reverse (20230320111), we get a palindrome (11122533522111).

The spelling of 11102303202000 in words is "eleven trillion, one hundred two billion, three hundred three million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 10627 21254 31881 42508 53135 63762 85016 106270 127524 159405 170032 174121 212540 255048 265675 318810 348242 425080 510096 522363 531350 637620 696484 797025 850160 870605 1044726 1062700 1275240 1328375 1392968 1594050 1741210 2089452 2125400 2550480 2611815 2656750 2785936 3188100 3482420 3985125 4178904 4250800 4353025 5223630 5313500 6376200 6964840 7970250 8357808 8706050 10447260 10627000 12752400 13059075 13929680 15940500 17412100 20894520 21254000 21765125 26118150 31881000 34824200 41789040 43530250 52236300 63762000 65295375 69648400 87060500 104472600 130590750 174121000 208945200 261181500 348242000 522363000 1044726000 1850383867 3700767734 5551151601 7401535468 9251919335 11102303202 14803070936 18503838670 22204606404 27755758005 29606141872 37007677340 44409212808 46259596675 55511516010 74015354680 88818425616 92519193350 111023032020 138778790025 148030709360 185038386700 222046064040 231297983375 277557580050 370076773400 444092128080 462595966750 555115160100 693893950125 740153546800 925191933500 1110230320200 1387787900250 1850383867000 2220460640400 2775575800500 3700767734000 5551151601000 11102303202000