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11202220202000 = 245331947190793
BaseRepresentation
bin1010001100000011100001…
…0110110001100000010000
31110122220212222122022101112
42203000320112301200100
52432014121332431000
635454121240152452
72234222313426422
oct243007026614020
943586788568345
1011202220202000
1136299202987a3
12130b094a68728
136334986c8c09
142aa294472812
151465de9db235
hexa30385b1810

11202220202000 has 160 divisors (see below), whose sum is σ = 27990413927424. Its totient is φ = 4331741568000.

The previous prime is 11202220201979. The next prime is 11202220202009. The reversal of 11202220202000 is 20202220211.

It is not an unprimeable number, because it can be changed into a prime (11202220202009) 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, 58618604 + ... + 58809396.

Almost surely, 211202220202000 is an apocalyptic number.

11202220202000 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 11202220202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995206963712).

11202220202000 is an abundant number, since it is smaller than the sum of its proper divisors (16788193725424).

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

11202220202000 is a wasteful number, since it uses less digits than its factorization.

11202220202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191794 (or 191778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11202220202000 its reverse (20202220211), we get a palindrome (11222422422211).

The spelling of 11202220202000 in words is "eleven trillion, two hundred two billion, two hundred twenty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 947 1000 1240 1550 1894 2000 2480 3100 3788 3875 4735 6200 7576 7750 9470 12400 15152 15500 18940 23675 29357 31000 37880 47350 58714 62000 75760 94700 117428 118375 146785 189400 190793 234856 236750 293570 378800 381586 469712 473500 587140 733925 763172 947000 953965 1174280 1467850 1526344 1894000 1907930 2348560 2935700 3052688 3669625 3815860 4769825 5871400 5914583 7339250 7631720 9539650 11742800 11829166 14678500 15263440 19079300 23658332 23849125 29357000 29572915 38158600 47316664 47698250 58714000 59145830 76317200 94633328 95396500 118291660 147864575 180680971 190793000 236583320 295729150 361361942 381586000 473166640 591458300 722723884 739322875 903404855 1182916600 1445447768 1478645750 1806809710 2365833200 2890895536 2957291500 3613619420 4517024275 5601110101 5914583000 7227238840 9034048550 11202220202 11829166000 14454477680 18068097100 22404440404 22585121375 28005550505 36136194200 44808880808 45170242750 56011101010 72272388400 89617761616 90340485500 112022202020 140027752525 180680971000 224044404040 280055505050 361361942000 448088808080 560111010100 700138762625 1120222020200 1400277525250 2240444040400 2800555050500 5601110101000 11202220202000