Search a number
-
+
23212100100 = 22352730113671
BaseRepresentation
bin10101100111100011…
…001000101000000100
32012220200122212020010
4111213203020220010
5340014244200400
614355151510220
71451134411140
oct254743105004
965820585203
1023212100100
119931697402
1245b9828370
13225bcc1b97
1411a2b40220
1590cc59450
hex5678c8a04

23212100100 has 144 divisors (see below), whose sum is σ = 76801084416. Its totient is φ = 5302416000.

The previous prime is 23212100099. The next prime is 23212100129. The reversal of 23212100100 is 100121232.

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 47 ways as a sum of consecutive naturals, for example, 6321265 + ... + 6324935.

It is an arithmetic number, because the mean of its divisors is an integer number (533340864).

Almost surely, 223212100100 is an apocalyptic number.

23212100100 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 23212100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38400542208).

23212100100 is an abundant number, since it is smaller than the sum of its proper divisors (53588984316).

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

23212100100 is a wasteful number, since it uses less digits than its factorization.

23212100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6699 counting only the distinct ones).

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

Adding to 23212100100 its reverse (100121232), we get a palindrome (23312221332).

The spelling of 23212100100 in words is "twenty-three billion, two hundred twelve million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3011 3671 6022 7342 9033 11013 12044 14684 15055 18066 18355 21077 22026 25697 30110 36132 36710 42154 44052 45165 51394 55065 60220 63231 73420 75275 77091 84308 90330 91775 102788 105385 110130 126462 128485 150550 154182 180660 183550 210770 220260 225825 252924 256970 275325 301100 308364 316155 367100 385455 421540 451650 513940 526925 550650 632310 642425 770910 903300 1053850 1101300 1264620 1284850 1541820 1580775 1927275 2107700 2569700 3161550 3854550 6323100 7709100 11053381 22106762 33160143 44213524 55266905 66320286 77373667 110533810 132640572 154747334 165800715 221067620 232121001 276334525 309494668 331601430 386868335 464242002 552669050 663202860 773736670 829003575 928484004 1105338100 1160605005 1547473340 1658007150 1934341675 2321210010 3316014300 3868683350 4642420020 5803025025 7737366700 11606050050 23212100100