Search a number
-
+
22200102212100 = 22352131564888097
BaseRepresentation
bin1010000110000110111010…
…01101001101001000000100
32220121022100021220221202120
411003003131031031020010
510402211302131241400
6115114330340005540
74450622141201301
oct503033515151004
986538307827676
1022200102212100
11708a012a4152a
1225a66413908b0
13c505cb0a38b7
1456a6c25d80a8
15287720277ca0
hex1430dd34d204

22200102212100 has 72 divisors (see below), whose sum is σ = 64722618716448. Its totient is φ = 5874836198400.

The previous prime is 22200102212077. The next prime is 22200102212117. The reversal of 22200102212100 is 121220100222.

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 22200102212100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282404749 + ... + 282483348.

Almost surely, 222200102212100 is an apocalyptic number.

22200102212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200102212100 is an abundant number, since it is smaller than the sum of its proper divisors (42522516504348).

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

22200102212100 is a wasteful number, since it uses less digits than its factorization.

22200102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564888245 (or 564888238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22200102212100 its reverse (121220100222), we get a palindrome (22321322312322).

The spelling of 22200102212100 in words is "twenty-two trillion, two hundred billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 39300 564888097 1129776194 1694664291 2259552388 2824440485 3389328582 5648880970 6778657164 8473321455 11297761940 14122202425 16946642910 28244404850 33893285820 42366607275 56488809700 74000340707 84733214550 148000681414 169466429100 222001022121 296001362828 370001703535 444002044242 740003407070 888004088484 1110005110605 1480006814140 1850008517675 2220010221210 3700017035350 4440020442420 5550025553025 7400034070700 11100051106050 22200102212100