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100220131110 = 2351117295359197
BaseRepresentation
bin101110101010110010…
…1011101011100100110
3100120200111212011100210
41131111211131130212
53120222323143420
6114012425120250
710145356026111
oct1352545353446
9316614764323
10100220131110
1139559718940
121750b629086
1395b22c4a38
144bca3a3578
15291871d9e0
hex175595d726

100220131110 has 512 divisors, whose sum is σ = 299307571200. Its totient is φ = 21186314240.

The previous prime is 100220131103. The next prime is 100220131129. The reversal of 100220131110 is 11131022001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 508731532 + ... + 508731728.

It is an arithmetic number, because the mean of its divisors is an integer number (584585100).

Almost surely, 2100220131110 is an apocalyptic number.

100220131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149653785600).

100220131110 is an abundant number, since it is smaller than the sum of its proper divisors (199087440090).

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

100220131110 is a wasteful number, since it uses less digits than its factorization.

100220131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376.

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

Adding to 100220131110 its reverse (11131022001), we get a palindrome (111351153111).

The spelling of 100220131110 in words is "one hundred billion, two hundred twenty million, one hundred thirty-one thousand, one hundred ten".