Search a number
-
+
21223203100 = 225211411632887
BaseRepresentation
bin10011110001000000…
…000110000100011100
32000210002012102110021
4103301000012010130
5321431114444400
613425542521524
71350634151461
oct236100060434
960702172407
1021223203100
119000a43680
1241437362a4
132002c34458
141054935668
1584333b71a
hex4f100611c

21223203100 has 144 divisors (see below), whose sum is σ = 51800184576. Its totient is φ = 7480512000.

The previous prime is 21223203097. The next prime is 21223203101. The reversal of 21223203100 is 130232212.

It is a super-2 number, since 2×212232031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223203101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7349857 + ... + 7352743.

It is an arithmetic number, because the mean of its divisors is an integer number (359723504).

Almost surely, 221223203100 is an apocalyptic number.

21223203100 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 21223203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25900092288).

21223203100 is an abundant number, since it is smaller than the sum of its proper divisors (30576981476).

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

21223203100 is a wasteful number, since it uses less digits than its factorization.

21223203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21223203100 its reverse (130232212), we get a palindrome (21353435312).

The spelling of 21223203100 in words is "twenty-one billion, two hundred twenty-three million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 163 164 205 220 275 326 410 451 550 652 815 820 902 1025 1100 1630 1793 1804 2050 2255 2887 3260 3586 4075 4100 4510 5774 6683 7172 8150 8965 9020 11275 11548 13366 14435 16300 17930 22550 26732 28870 31757 33415 35860 44825 45100 57740 63514 66830 72175 73513 89650 118367 127028 133660 144350 147026 158785 167075 179300 236734 288700 294052 317570 334150 367565 470581 473468 591835 635140 668300 735130 793925 941162 1183670 1302037 1470260 1587850 1837825 1882324 2352905 2367340 2604074 2959175 3175700 3675650 4705810 5176391 5208148 5918350 6510185 7351300 9411620 10352782 11764525 11836700 13020370 19293821 20705564 23529050 25881955 26040740 32550925 38587642 47058100 51763910 65101850 77175284 96469105 103527820 129409775 130203700 192938210 212232031 258819550 385876420 424464062 482345525 517639100 848928124 964691050 1061160155 1929382100 2122320310 4244640620 5305800775 10611601550 21223203100