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102022020300 = 223522937316937
BaseRepresentation
bin101111100000011111…
…1000111110011001100
3100202100002102121122110
41133000333013303030
53132420114122200
6114511313544020
710241125602264
oct1370077076314
9322302377573
10102022020300
113a2a3852962
1217932b75010
13980b6c6965
144d1b80c7a4
1529c19ebb50
hex17c0fc7ccc

102022020300 has 144 divisors (see below), whose sum is σ = 313616489760. Its totient is φ = 25557719040.

The previous prime is 102022020251. The next prime is 102022020349. The reversal of 102022020300 is 3020220201.

It is an interprime number because it is at equal distance from previous prime (102022020251) and next prime (102022020349).

It is a super-2 number, since 2×1020220203002 (a number of 23 digits) contains 22 as substring.

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, 163432 + ... + 480368.

It is an arithmetic number, because the mean of its divisors is an integer number (2177892290).

Almost surely, 2102022020300 is an apocalyptic number.

102022020300 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 102022020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156808244880).

102022020300 is an abundant number, since it is smaller than the sum of its proper divisors (211594469460).

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

102022020300 is a wasteful number, since it uses less digits than its factorization.

102022020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317020 (or 317013 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102022020300 its reverse (3020220201), we get a palindrome (105042240501).

The spelling of 102022020300 in words is "one hundred two billion, twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 37 50 58 60 74 75 87 100 111 116 145 148 150 174 185 222 290 300 348 370 435 444 555 580 725 740 870 925 1073 1110 1450 1740 1850 2146 2175 2220 2775 2900 3219 3700 4292 4350 5365 5550 6438 8700 10730 11100 12876 16095 21460 26825 32190 53650 64380 80475 107300 160950 316937 321900 633874 950811 1267748 1584685 1901622 3169370 3803244 4754055 6338740 7923425 9191173 9508110 11726669 15846850 18382346 19016220 23453338 23770275 27573519 31693700 35180007 36764692 45955865 46906676 47540550 55147038 58633345 70360014 91911730 95081100 110294076 117266690 137867595 140720028 175900035 183823460 229779325 234533380 275735190 293166725 340073401 351800070 459558650 551470380 586333450 680146802 689337975 703600140 879500175 919117300 1020220203 1172666900 1360293604 1378675950 1700367005 1759000350 2040440406 2757351900 3400734010 3518000700 4080880812 5101101015 6801468020 8501835025 10202202030 17003670050 20404404060 25505505075 34007340100 51011010150 102022020300