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21410100345000 = 233542689530807
BaseRepresentation
bin1001101111000111011010…
…11011001111100010101000
32210210210012201000222201110
410313203231123033202220
510301240341142020000
6113311355254150320
74336554150133623
oct467435533174250
983723181028643
1021410100345000
116904a77536a94
1224995073523a0
13bc3c6b60c8c3
1454037c06adba
15271dd4ac5850
hex1378ed6cf8a8

21410100345000 has 160 divisors (see below), whose sum is σ = 66910153147200. Its totient is φ = 5707226112000.

The previous prime is 21410100344981. The next prime is 21410100345013. The reversal of 21410100345000 is 54300101412.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40069597 + ... + 40600403.

It is an arithmetic number, because the mean of its divisors is an integer number (418188457170).

Almost surely, 221410100345000 is an apocalyptic number.

21410100345000 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 21410100345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33455076573600).

21410100345000 is an abundant number, since it is smaller than the sum of its proper divisors (45500052802200).

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

21410100345000 is a wasteful number, since it uses less digits than its factorization.

21410100345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533525 (or 533506 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 21410100345000 its reverse (54300101412), we get a palindrome (21464400446412).

The spelling of 21410100345000 in words is "twenty-one trillion, four hundred ten billion, one hundred million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 2689 3000 3750 5000 5378 7500 8067 10756 13445 15000 16134 21512 26890 32268 40335 53780 64536 67225 80670 107560 134450 161340 201675 268900 322680 336125 403350 530807 537800 672250 806700 1008375 1061614 1344500 1592421 1613400 1680625 2016750 2123228 2654035 2689000 3184842 3361250 4033500 4246456 5041875 5308070 6369684 6722500 7962105 8067000 10083750 10616140 12739368 13270175 13445000 15924210 20167500 21232280 26540350 31848420 39810525 40335000 53080700 63696840 66350875 79621050 106161400 132701750 159242100 199052625 265403500 318484200 331754375 398105250 530807000 663508750 796210500 995263125 1327017500 1427340023 1592421000 1990526250 2654035000 2854680046 3981052500 4282020069 5709360092 7136700115 7962105000 8564040138 11418720184 14273400230 17128080276 21410100345 28546800460 34256160552 35683500575 42820200690 57093600920 71367001150 85640401380 107050501725 142734002300 171280802760 178417502875 214101003450 285468004600 356835005750 428202006900 535252508625 713670011500 856404013800 892087514375 1070505017250 1427340023000 1784175028750 2141010034500 2676262543125 3568350057500 4282020069000 5352525086250 7136700115000 10705050172500 21410100345000