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21022011002000 = 245371300149331
BaseRepresentation
bin1001100011110100100010…
…11111111000110010010000
32202102200111002110200112002
410301322101133320302100
510223411034304031000
6112413213432453132
74266535013141261
oct461722137706220
982380432420462
1021022011002000
116775426193578
122436258b4a1a8
13b964a07841c8
14529683aaa968
15266c6dba08d5
hex131e917f8c90

21022011002000 has 160 divisors (see below), whose sum is σ = 51565377247488. Its totient is φ = 8287440000000.

The previous prime is 21022011001993. The next prime is 21022011002017. The reversal of 21022011002000 is 20011022012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426117335 + ... + 426166665.

Almost surely, 221022011002000 is an apocalyptic number.

21022011002000 is a gapful number since it is divisible by the number (20) 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 21022011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25782688623744).

21022011002000 is an abundant number, since it is smaller than the sum of its proper divisors (30543366245488).

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

21022011002000 is a wasteful number, since it uses less digits than its factorization.

21022011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52426 (or 52410 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21022011002000 its reverse (20011022012), we get a palindrome (21042022024012).

The spelling of 21022011002000 in words is "twenty-one trillion, twenty-two billion, eleven million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3001 3550 5680 6002 7100 8875 12004 14200 15005 17750 24008 28400 30010 35500 48016 49331 60020 71000 75025 98662 120040 142000 150050 197324 213071 240080 246655 300100 375125 394648 426142 493310 600200 750250 789296 852284 986620 1065355 1200400 1233275 1500500 1704568 1973240 2130710 2466550 3001000 3409136 3502501 3946480 4261420 4933100 5326775 6002000 6166375 7005002 8522840 9866200 10653550 12332750 14010004 17045680 17512505 19732400 21307100 24665500 26633875 28020008 35025010 42614200 49331000 53267750 56040016 70050020 85228400 87562525 98662000 106535500 140100040 148042331 175125050 213071000 280200080 296084662 350250100 426142000 437812625 592169324 700500200 740211655 875625250 1184338648 1401000400 1480423310 1751250500 2368677296 2960846620 3502501000 3701058275 5921693240 7005002000 7402116550 10511005501 11843386480 14804233100 18505291375 21022011002 29608466200 37010582750 42044022004 52555027505 59216932400 74021165500 84088044008 105110055010 148042331000 168176088016 210220110020 262775137525 296084662000 420440220040 525550275050 840880440080 1051100550100 1313875687625 2102201100200 2627751375250 4204402200400 5255502750500 10511005501000 21022011002000