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23122103100 = 223522914917837
BaseRepresentation
bin10101100010001011…
…110100101100111100
32012200102022112112220
4111202023310230330
5334323224244400
614342214525340
71445662430205
oct254213645474
965612275486
1023122103100
119895908318
124593666850
132246471415
141194bd45ac
15904dcd7a0
hex5622f4b3c

23122103100 has 144 divisors (see below), whose sum is σ = 69675228000. Its totient is φ = 5912990720.

The previous prime is 23122103089. The next prime is 23122103117. The reversal of 23122103100 is 130122132.

It is a super-2 number, since 2×231221031002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23122103100.

It is a congruent number.

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, 1287382 + ... + 1305218.

It is an arithmetic number, because the mean of its divisors is an integer number (483855750).

Almost surely, 223122103100 is an apocalyptic number.

23122103100 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 23122103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34837614000).

23122103100 is an abundant number, since it is smaller than the sum of its proper divisors (46553124900).

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

23122103100 is a wasteful number, since it uses less digits than its factorization.

23122103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18032 (or 18025 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23122103100 its reverse (130122132), we get a palindrome (23252225232).

The spelling of 23122103100 in words is "twenty-three billion, one hundred twenty-two million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 149 150 174 290 298 300 348 435 447 580 596 725 745 870 894 1450 1490 1740 1788 2175 2235 2900 2980 3725 4321 4350 4470 7450 8642 8700 8940 11175 12963 14900 17284 17837 21605 22350 25926 35674 43210 44700 51852 53511 64815 71348 86420 89185 107022 108025 129630 178370 214044 216050 259260 267555 324075 356740 432100 445925 517273 535110 648150 891850 1034546 1070220 1296300 1337775 1551819 1783700 2069092 2586365 2657713 2675550 3103638 5172730 5315426 5351100 6207276 7759095 7973139 10345460 10630852 12931825 13288565 15518190 15946278 25863650 26577130 31036380 31892556 38795475 39865695 51727300 53154260 66442825 77073677 77590950 79731390 132885650 154147354 155181900 159462780 199328475 231221031 265771300 308294708 385368385 398656950 462442062 770736770 797313900 924884124 1156105155 1541473540 1926841925 2312210310 3853683850 4624420620 5780525775 7707367700 11561051550 23122103100