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10210020000 = 25354170167
BaseRepresentation
bin10011000001001000…
…01000101010100000
3222100112221202101220
421200210020222200
5131402231120000
64405044055040
7511004511105
oct114044105240
928315852356
1010210020000
11436a321164
121b8b394480
13c6937246b
146cbdd2aac
153eb5461a0
hex260908aa0

10210020000 has 120 divisors (see below), whose sum is σ = 33491104416. Its totient is φ = 2722656000.

The previous prime is 10210019993. The next prime is 10210020017. The reversal of 10210020000 is 2001201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25084 + ... + 145083.

Almost surely, 210210020000 is an apocalyptic number.

10210020000 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 10210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16745552208).

10210020000 is an abundant number, since it is smaller than the sum of its proper divisors (23281084416).

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

10210020000 is an equidigital number, since it uses as much as digits as its factorization.

10210020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170200 (or 170177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10210020000 its reverse (2001201), we get a palindrome (10212021201).

The spelling of 10210020000 in words is "ten billion, two hundred ten million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 170167 340334 510501 680668 850835 1021002 1361336 1701670 2042004 2552505 2722672 3403340 4084008 4254175 5105010 5445344 6806680 8168016 8508350 10210020 12762525 13613360 16336032 17016700 20420040 21270875 25525050 27226720 34033400 40840080 42541750 51050100 63812625 68066800 81680160 85083500 102100200 106354375 127625250 136133600 170167000 204200400 212708750 255250500 319063125 340334000 408400800 425417500 510501000 638126250 680668000 850835000 1021002000 1276252500 1701670000 2042004000 2552505000 3403340000 5105010000 10210020000