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213220101000 = 23353431652869
BaseRepresentation
bin1100011010010011101…
…0001000101110001000
3202101100200020101202210
43012210322020232020
511443133321213000
6241541342425120
721255535645344
oct3064472105610
9671320211683
10213220101000
1182476208805
12353a6b921a0
131715019554a
14a469b82624
15582dda1350
hex31a4e88b88

213220101000 has 128 divisors (see below), whose sum is σ = 680717980800. Its totient is φ = 55536364800.

The previous prime is 213220100927. The next prime is 213220101019. The reversal of 213220101000 is 101022312.

It is a super-2 number, since 2×2132201010002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697435 + ... + 955434.

It is an arithmetic number, because the mean of its divisors is an integer number (5318109225).

Almost surely, 2213220101000 is an apocalyptic number.

213220101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213220101000 is an abundant number, since it is smaller than the sum of its proper divisors (467497879800).

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

213220101000 is a wasteful number, since it uses less digits than its factorization.

213220101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652936 (or 1652922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213220101000 its reverse (101022312), we get a palindrome (213321123312).

The spelling of 213220101000 in words is "two hundred thirteen billion, two hundred twenty million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 129000 1652869 3305738 4958607 6611476 8264345 9917214 13222952 16528690 19834428 24793035 33057380 39668856 41321725 49586070 66114760 71073367 82643450 99172140 123965175 142146734 165286900 198344280 206608625 213220101 247930350 284293468 330573800 355366835 413217250 426440202 495860700 568586936 619825875 710733670 826434500 852880404 991721400 1066100505 1239651750 1421467340 1652869000 1705760808 1776834175 2132201010 2479303500 2842934680 3553668350 4264402020 4958607000 5330502525 7107336700 8528804040 8884170875 10661005050 14214673400 17768341750 21322010100 26652512625 35536683500 42644020200 53305025250 71073367000 106610050500 213220101000