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10020022021000 = 235341271901811
BaseRepresentation
bin1001000111001111011111…
…0110100110101110001000
31022110220102120012022012201
42101303313312212232020
52303132001114133000
633151045022245544
72052631325615335
oct221636766465610
938426376168181
1010020022021000
113213516233812
121159b451268b4
13578b65273424
14268d8630798c
1512599caad96a
hex91cf7da6b88

10020022021000 has 128 divisors (see below), whose sum is σ = 24107382673920. Its totient is φ = 3895819200000.

The previous prime is 10020022020979. The next prime is 10020022021013. The reversal of 10020022021000 is 12022002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 10660095 + ... + 11561905.

It is an arithmetic number, because the mean of its divisors is an integer number (188338927140).

Almost surely, 210020022021000 is an apocalyptic number.

10020022021000 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 10020022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053691336960).

10020022021000 is an abundant number, since it is smaller than the sum of its proper divisors (14087360652920).

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

10020022021000 is a wasteful number, since it uses less digits than its factorization.

10020022021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902144 (or 902130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020022021000 its reverse (12022002001), we get a palindrome (10032044023001).

The spelling of 10020022021000 in words is "ten trillion, twenty billion, twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 271 328 410 500 542 820 1000 1025 1084 1355 1640 2050 2168 2710 4100 5125 5420 6775 8200 10250 10840 11111 13550 20500 22222 27100 33875 41000 44444 54200 55555 67750 88888 111110 135500 222220 271000 277775 444440 555550 901811 1111100 1388875 1803622 2222200 2777750 3607244 4509055 5555500 7214488 9018110 11111000 18036220 22545275 36072440 36974251 45090550 73948502 90181100 112726375 147897004 180362200 184871255 225452750 244390781 295794008 369742510 450905500 488781562 739485020 901811000 924356275 977563124 1221953905 1478970040 1848712550 1955126248 2443907810 3697425100 4621781375 4887815620 6109769525 7394850200 9243562750 9775631240 10020022021 12219539050 18487125500 20040044042 24439078100 30548847625 36974251000 40080088084 48878156200 50100110105 61097695250 80160176168 100200220210 122195390500 200400440420 244390781000 250500550525 400800880840 501001101050 1002002202100 1252502752625 2004004404200 2505005505250 5010011010500 10020022021000