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101012122212228 = 22341468572122921
BaseRepresentation
bin10110111101111010110111…
…101010011001011110000100
3111020122122221110211010210000
4112331322313222121132010
5101214440311241242403
6554500154530201300
730163612361042013
oct2675726752313604
9436578843733700
10101012122212228
112a205000676587
12b3b49ab423230
13444952c996116
141ad30271aaa7a
15ba28553977a3
hex5bdeb7a99784

101012122212228 has 60 divisors (see below), whose sum is σ = 264067562977372. Its totient is φ = 33670462268160.

The previous prime is 101012122212151. The next prime is 101012122212229. The reversal of 101012122212228 is 822212221210101.

It is a happy number.

101012122212228 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 212 + 221 + 2 + 228 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72512411838084 + 28499710374144 = 8515422^2 + 5338512^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101012122212229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46520208 + ... + 48643128.

Almost surely, 2101012122212228 is an apocalyptic number.

101012122212228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101012122212228 is an abundant number, since it is smaller than the sum of its proper divisors (163055440765144).

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

101012122212228 is a wasteful number, since it uses less digits than its factorization.

101012122212228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269794 (or 2269783 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 101012122212228 its reverse (822212221210101), we get a palindrome (923224343422329).

The spelling of 101012122212228 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 146857 293714 440571 587428 881142 1321713 1762284 2122921 2643426 3965139 4245842 5286852 6368763 7930278 8491684 11895417 12737526 15860556 19106289 23790834 25475052 38212578 47581668 57318867 76425156 114637734 171956601 229275468 343913202 687826404 311765809297 623531618594 935297427891 1247063237188 1870594855782 2805892283673 3741189711564 5611784567346 8417676851019 11223569134692 16835353702038 25253030553057 33670707404076 50506061106114 101012122212228