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10222011100 = 2252715679319
BaseRepresentation
bin10011000010100011…
…11000001011011100
3222101101111222002201
421201101320023130
5131413313323400
64410153101244
7511211442430
oct114121701334
928341458081
1010222011100
114376071264
121b933b7824
13c6b9b03a2
146cd8349c0
153ec61406a
hex2614782dc

10222011100 has 72 divisors (see below), whose sum is σ = 25369487360. Its totient is φ = 3502077120.

The previous prime is 10222011097. The next prime is 10222011113. The reversal of 10222011100 is 111022201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092241 + ... + 1101559.

Almost surely, 210222011100 is an apocalyptic number.

10222011100 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 10222011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684743680).

10222011100 is an abundant number, since it is smaller than the sum of its proper divisors (15147476260).

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

10222011100 is a wasteful number, since it uses less digits than its factorization.

10222011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10222011100 its reverse (111022201), we get a palindrome (10333033301).

The spelling of 10222011100 in words is "ten billion, two hundred twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1567 3134 6268 7835 9319 10969 15670 18638 21938 31340 37276 39175 43876 46595 54845 65233 78350 93190 109690 130466 156700 186380 219380 232975 260932 274225 326165 465950 548450 652330 931900 1096900 1304660 1630825 3261650 6523300 14602873 29205746 58411492 73014365 102220111 146028730 204440222 292057460 365071825 408880444 511100555 730143650 1022201110 1460287300 2044402220 2555502775 5111005550 10222011100