Search a number
-
+
20211011000 = 2353172834201
BaseRepresentation
bin10010110100101010…
…111000110110111000
31221011112120201220222
4102310222320312320
5312343004323000
613141304035212
71313563521215
oct226452706670
957145521828
1020211011000
118631652784
123b00762b08
131ba1318a0b
14d9a332b0c
157d454ca85
hex4b4ab8db8

20211011000 has 128 divisors (see below), whose sum is σ = 50264660160. Its totient is φ = 7580160000.

The previous prime is 20211010997. The next prime is 20211011003. The reversal of 20211011000 is 11011202.

It is an interprime number because it is at equal distance from previous prime (20211010997) and next prime (20211011003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4808900 + ... + 4813100.

Almost surely, 220211011000 is an apocalyptic number.

20211011000 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 20211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25132330080).

20211011000 is an abundant number, since it is smaller than the sum of its proper divisors (30053649160).

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

20211011000 is a wasteful number, since it uses less digits than its factorization.

20211011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20211011000 its reverse (11011202), we get a palindrome (20222022202).

The spelling of 20211011000 in words is "twenty billion, two hundred eleven million, eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 283 340 425 500 566 680 850 1000 1132 1415 1700 2125 2264 2830 3400 4201 4250 4811 5660 7075 8402 8500 9622 11320 14150 16804 17000 19244 21005 24055 28300 33608 35375 38488 42010 48110 56600 70750 71417 84020 96220 105025 120275 141500 142834 168040 192440 210050 240550 283000 285668 357085 420100 481100 525125 571336 601375 714170 840200 962200 1050250 1188883 1202750 1428340 1785425 2100500 2377766 2405500 2856680 3570850 4201000 4755532 4811000 5944415 7141700 8927125 9511064 11888830 14283400 17854250 20211011 23777660 29722075 35708500 40422022 47555320 59444150 71417000 80844044 101055055 118888300 148610375 161688088 202110110 237776600 297220750 404220220 505275275 594441500 808440440 1010550550 1188883000 2021101100 2526376375 4042202200 5052752750 10105505500 20211011000