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220002012022100 = 2252711107267025139
BaseRepresentation
bin110010000001011100110101…
…110001101100010101010100
31001211221222122111001212200012
4302001130311301230111110
5212314003110034201400
62055523310140135352
764224422643262160
oct6201346561542524
91054858574055605
10220002012022100
1164110369389370
1220811a44837558
13959b140369029
143c48223189ca0
151a67b558aed35
hexc81735c6c554

220002012022100 has 144 divisors (see below), whose sum is σ = 600768113379840. Its totient is φ = 67931195107200.

The previous prime is 220002012022049. The next prime is 220002012022103. The reversal of 220002012022100 is 1220210200022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002012022103) 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, 132688670 + ... + 134336469.

It is an arithmetic number, because the mean of its divisors is an integer number (4172000787360).

Almost surely, 2220002012022100 is an apocalyptic number.

220002012022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002012022100 is an abundant number, since it is smaller than the sum of its proper divisors (380766101357740).

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

220002012022100 is a wasteful number, since it uses less digits than its factorization.

220002012022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267025278 (or 267025271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220002012022100 its reverse (1220210200022), we get a palindrome (221222222222122).

The spelling of 220002012022100 in words is "two hundred twenty trillion, two billion, twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 107 110 140 154 175 214 220 275 308 350 385 428 535 550 700 749 770 1070 1100 1177 1498 1540 1925 2140 2354 2675 2996 3745 3850 4708 5350 5885 7490 7700 8239 10700 11770 14980 16478 18725 23540 29425 32956 37450 41195 58850 74900 82390 117700 164780 205975 411950 823900 267025139 534050278 1068100556 1335125695 1869175973 2670251390 2937276529 3738351946 5340502780 5874553058 6675628475 7476703892 9345879865 11749106116 13351256950 14686382645 18691759730 20560935703 26702513900 28571689873 29372765290 37383519460 41121871406 46729399325 57143379746 58745530580 73431913225 82243742812 93458798650 102804678515 114286759492 142858449365 146863826450 186917597300 200001829111 205609357030 285716898730 293727652900 314288588603 400003658222 411218714060 514023392575 571433797460 628577177206 714292246825 800007316444 1000009145555 1028046785150 1257154354412 1428584493650 1571442943015 2000018291110 2056093570300 2200020120221 2857168987300 3142885886030 4000036582220 4400040240442 5000045727775 6285771772060 7857214715075 8800080480884 10000091455550 11000100601105 15714429430150 20000182911100 22000201202210 31428858860300 44000402404420 55000503005525 110001006011050 220002012022100