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100100011220 = 225113311011201
BaseRepresentation
bin101110100111001101…
…1001111010011010100
3100120101010211102211222
41131032123033103110
53120001100324340
6113552454345512
710142400025256
oct1351633172324
9316333742758
10100100011220
11394a7935000
121749735b298
139593458391
144bb8455cd6
15290cde28b5
hex174e6cf4d4

100100011220 has 192 divisors, whose sum is σ = 241237592064. Its totient is φ = 34848000000.

The previous prime is 100100011183. The next prime is 100100011267. The reversal of 100100011220 is 22110001001.

It is a junction number, because it is equal to n+sod(n) for n = 100100011198 and 100100011207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83346620 + ... + 83347820.

It is an arithmetic number, because the mean of its divisors is an integer number (1256445792).

Almost surely, 2100100011220 is an apocalyptic number.

100100011220 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 100100011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120618796032).

100100011220 is an abundant number, since it is smaller than the sum of its proper divisors (141137580844).

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

100100011220 is a wasteful number, since it uses less digits than its factorization.

100100011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100011220 its reverse (22110001001), we get a palindrome (122210012221).

The spelling of 100100011220 in words is "one hundred billion, one hundred million, eleven thousand, two hundred twenty".