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100000223220 = 223510121117817
BaseRepresentation
bin101110100100001111…
…0100100111111110100
3100120010012001200110010
41131020132210333310
53114300024120340
6113534531500220
710140045605202
oct1351036447764
9316105050403
10100000223220
1139456578887
1217469a57670
13957888a221
144ba90bc072
152904280b80
hex17487a4ff4

100000223220 has 96 divisors (see below), whose sum is σ = 282943051776. Its totient is φ = 26386816000.

The previous prime is 100000223209. The next prime is 100000223231. The reversal of 100000223220 is 22322000001.

It is an interprime number because it is at equal distance from previous prime (100000223209) and next prime (100000223231).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100000223196 and 100000223205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12788752 + ... + 12796568.

It is an arithmetic number, because the mean of its divisors is an integer number (2947323456).

Almost surely, 2100000223220 is an apocalyptic number.

100000223220 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 100000223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141471525888).

100000223220 is an abundant number, since it is smaller than the sum of its proper divisors (182942828556).

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

100000223220 is a wasteful number, since it uses less digits than its factorization.

100000223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10039 counting only the distinct ones).

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

Adding to 100000223220 its reverse (22322000001), we get a palindrome (122322223221).

The spelling of 100000223220 in words is "one hundred billion, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 2111 3030 4222 6060 6333 7817 8444 10555 12666 15634 21110 23451 25332 31268 31665 39085 42220 46902 63330 78170 93804 117255 126660 156340 213211 234510 426422 469020 639633 789517 852844 1066055 1279266 1579034 2132110 2368551 2558532 3158068 3198165 3947585 4264220 4737102 6396330 7895170 9474204 11842755 12792660 15790340 16501687 23685510 33003374 47371020 49505061 66006748 82508435 99010122 165016870 198020244 247525305 330033740 495050610 990101220 1666670387 3333340774 5000011161 6666681548 8333351935 10000022322 16666703870 20000044644 25000055805 33333407740 50000111610 100000223220