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10020011110000 = 24548179122509
BaseRepresentation
bin1001000111001111011100…
…1100111110111001110000
31022110220101210122222010121
42101303313030332321300
52303131440321010000
633151043552340024
72052631134103003
oct221636714767160
938426353588117
1010020011110000
113213510061161
121159b41544614
13578b62c23008
14268d84aa753a
1512599bb55b1a
hex91cf733ee70

10020011110000 has 100 divisors (see below), whose sum is σ = 24262613009800. Its totient is φ = 4007481696000.

The previous prime is 10020011109931. The next prime is 10020011110003. The reversal of 10020011110000 is 1111002001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020011110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81728746 + ... + 81851254.

It is an arithmetic number, because the mean of its divisors is an integer number (242626130098).

Almost surely, 210020011110000 is an apocalyptic number.

10020011110000 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 10020011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131306504900).

10020011110000 is an abundant number, since it is smaller than the sum of its proper divisors (14242601899800).

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

10020011110000 is an equidigital number, since it uses as much as digits as its factorization.

10020011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130716 (or 130695 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10020011110000 its reverse (1111002001), we get a palindrome (10021122112001).

The spelling of 10020011110000 in words is "ten trillion, twenty billion, eleven million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8179 10000 16358 32716 40895 65432 81790 122509 130864 163580 204475 245018 327160 408950 490036 612545 654320 817900 980072 1022375 1225090 1635800 1960144 2044750 2450180 3062725 3271600 4089500 4900360 5111875 6125450 8179000 9800720 10223750 12250900 15313625 16358000 20447500 24501800 30627250 40895000 49003600 61254500 76568125 81790000 122509000 153136250 245018000 306272500 612545000 1002001111 1225090000 2004002222 4008004444 5010005555 8016008888 10020011110 16032017776 20040022220 25050027775 40080044440 50100055550 80160088880 100200111100 125250138875 200400222200 250500277750 400800444400 501000555500 626250694375 1002001111000 1252501388750 2004002222000 2505002777500 5010005555000 10020011110000