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300010100133222 = 232791013495985349
BaseRepresentation
bin100010000110110111000101…
…1011100101000110101100110
31110100020200111201010111221100
41010031232023130220311212
5303310331141113230342
62542022423133100530
7120123004646260443
oct10415561334506546
91410220451114840
10300010100133222
1187657629307066
1229793b73627746
13cb52aa5a815cb
1454127cddc29ca
1524a3e403eae4c
hex110db8b728d66

300010100133222 has 96 divisors (see below), whose sum is σ = 666672224400000. Its totient is φ = 97479771667200.

The previous prime is 300010100133217. The next prime is 300010100133239. The reversal of 300010100133222 is 222331001010003.

300010100133222 is a `hidden beast` number, since 300 + 0 + 1 + 0 + 10 + 0 + 1 + 332 + 22 = 666.

It is a super-2 number, since 2×3000101001332222 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300010100133195 and 300010100133204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47131404 + ... + 53116752.

It is an arithmetic number, because the mean of its divisors is an integer number (6944502337500).

Almost surely, 2300010100133222 is an apocalyptic number.

300010100133222 is an abundant number, since it is smaller than the sum of its proper divisors (366662124266778).

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

300010100133222 is a wasteful number, since it uses less digits than its factorization.

300010100133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985886 (or 5985883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300010100133222 its reverse (222331001010003), we get a palindrome (522341101143225).

The spelling of 300010100133222 in words is "three hundred trillion, ten billion, one hundred million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 101 158 202 237 303 349 474 606 698 711 909 1047 1422 1818 2094 3141 6282 7979 15958 23937 27571 35249 47874 55142 70498 71811 82713 105747 143622 165426 211494 248139 317241 496278 634482 2784671 5569342 5985349 8354013 11970698 16708026 17956047 25062039 35912094 50124078 53868141 107736282 472842571 604520249 945685142 1209040498 1418527713 1813560747 2088886801 2837055426 3627121494 4177773602 4255583139 5440682241 6266660403 8511166278 10881364482 12533320806 18799981209 37599962418 47757099671 95514199342 143271299013 165022057279 210977566901 286542598026 330044114558 421955133802 429813897039 495066171837 632932700703 859627794078 990132343674 1265865401406 1485198515511 1898798102109 2970397031022 3797596204218 16667227785179 33334455570358 50001683355537 100003366711074 150005050066611 300010100133222