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102001010220 = 223253747325861
BaseRepresentation
bin101111011111110111…
…0111110011000101100
3100202021121220012020100
41132333232332120230
53132344224311340
6114505243351100
710240452165354
oct1367756763054
9322247805210
10102001010220
113a292a0275a
1217927b22490
13980724b865
144d18addb64
1529bec4b830
hex17bfbbe62c

102001010220 has 144 divisors (see below), whose sum is σ = 324527269248. Its totient is φ = 25901959680.

The previous prime is 102001010203. The next prime is 102001010227. The reversal of 102001010220 is 22010100201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102001010227) 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, 150090 + ... + 475950.

It is an arithmetic number, because the mean of its divisors is an integer number (2253661592).

Almost surely, 2102001010220 is an apocalyptic number.

102001010220 is a gapful number since it is divisible by the number (10) 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 102001010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162263634624).

102001010220 is an abundant number, since it is smaller than the sum of its proper divisors (222526259028).

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

102001010220 is a wasteful number, since it uses less digits than its factorization.

102001010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325960 (or 325955 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102001010220 its reverse (22010100201), we get a palindrome (124011110421).

The spelling of 102001010220 in words is "one hundred two billion, one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 555 564 666 705 740 846 940 1110 1332 1410 1665 1692 1739 2115 2220 2820 3330 3478 4230 5217 6660 6956 8460 8695 10434 15651 17390 20868 26085 31302 34780 52170 62604 78255 104340 156510 313020 325861 651722 977583 1303444 1629305 1955166 2932749 3258610 3910332 4887915 5865498 6517220 9775830 11730996 12056857 14663745 15315467 19551660 24113714 29327490 30630934 36170571 45946401 48227428 58654980 60284285 61261868 72341142 76577335 91892802 108511713 120568570 137839203 144682284 153154670 180852855 183785604 217023426 229732005 241137140 275678406 306309340 361705710 434046852 459464010 542558565 551356812 566672279 689196015 723411420 918928020 1085117130 1133344558 1378392030 1700016837 2170234260 2266689116 2756784060 2833361395 3400033674 5100050511 5666722790 6800067348 8500084185 10200101022 11333445580 17000168370 20400202044 25500252555 34000336740 51000505110 102001010220