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210020010221000 = 23537226713234609
BaseRepresentation
bin101111110000001100011000…
…000110101101110111001000
31000112121201100121121212020002
4233300030120012231313020
5210011431440104033000
62022401505531022132
762144305432025630
oct5760143006556710
91015551317555202
10210020010221000
1160a11a936175a1
121b67b35059a948
139025a56c60355
1439c10465396c0
151943180abb8d5
hexbf03181addc8

210020010221000 has 128 divisors (see below), whose sum is σ = 561901307385600. Its totient is φ = 71975092147200.

The previous prime is 210020010220967. The next prime is 210020010221011. The reversal of 210020010221000 is 122010020012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9251696 + ... + 22486304.

It is an arithmetic number, because the mean of its divisors is an integer number (4389853963950).

Almost surely, 2210020010221000 is an apocalyptic number.

210020010221000 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 210020010221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280950653692800).

210020010221000 is an abundant number, since it is smaller than the sum of its proper divisors (351881297164600).

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

210020010221000 is a wasteful number, since it uses less digits than its factorization.

210020010221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236904 (or 13236890 counting only the distinct ones).

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

Adding to 210020010221000 its reverse (122010020012), we get a palindrome (210142020241012).

The spelling of 210020010221000 in words is "two hundred ten trillion, twenty billion, ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2267 3500 4534 7000 9068 11335 15869 18136 22670 31738 45340 56675 63476 79345 90680 113350 126952 158690 226700 283375 317380 396725 453400 566750 634760 793450 1133500 1586900 1983625 2267000 3173800 3967250 7934500 13234609 15869000 26469218 52938436 66173045 92642263 105876872 132346090 185284526 264692180 330865225 370569052 463211315 529384360 661730450 741138104 926422630 1323460900 1654326125 1852845260 2316056575 2646921800 3308652250 3705690520 4632113150 6617304500 9264226300 11580282875 13234609000 18528452600 23160565750 30002858603 46321131500 60005717206 92642263000 120011434412 150014293015 210020010221 240022868824 300028586030 420040020442 600057172060 750071465075 840080040884 1050100051105 1200114344120 1500142930150 1680160081768 2100200102210 3000285860300 3750357325375 4200400204420 5250500255525 6000571720600 7500714650750 8400800408840 10501000511050 15001429301500 21002001022100 26252501277625 30002858603000 42004002044200 52505002555250 105010005110500 210020010221000