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10030300321122 = 235127383342397
BaseRepresentation
bin1001000111110101110001…
…1111001101010101100010
31022111212221212122001100000
42101331130133031111202
52303314023340233442
633155504550040430
72053444123001034
oct221753437152542
938455855561300
1010030300321122
113217910050824
12115bb33349116
13579b12801613
1426967d3d1c54
15125da00e0d4c
hex91f5c7cd562

10030300321122 has 96 divisors (see below), whose sum is σ = 22721138399232. Its totient is φ = 3316163566464.

The previous prime is 10030300321121. The next prime is 10030300321141. The reversal of 10030300321122 is 22112300303001.

10030300321122 is a `hidden beast` number, since 1 + 0 + 0 + 30 + 300 + 321 + 12 + 2 = 666.

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 = 10030300321095 and 10030300321104.

It is not an unprimeable number, because it can be changed into a prime (10030300321121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236559228 + ... + 236601624.

It is an arithmetic number, because the mean of its divisors is an integer number (236678524992).

Almost surely, 210030300321122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030300321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360569199616).

10030300321122 is an abundant number, since it is smaller than the sum of its proper divisors (12690838078110).

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

10030300321122 is a wasteful number, since it uses less digits than its factorization.

10030300321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46374 (or 46362 counting only the distinct ones).

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

Adding to 10030300321122 its reverse (22112300303001), we get a palindrome (32142600624123).

The spelling of 10030300321122 in words is "ten trillion, thirty billion, three hundred million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 243 254 381 486 762 1143 2286 3429 3833 6858 7666 10287 11499 20574 22998 30861 34497 42397 61722 68994 84794 103491 127191 206982 254382 310473 381573 486791 620946 763146 931419 973582 1144719 1460373 1862838 2289438 2920746 3434157 4381119 5384419 6868314 8762238 10302471 10768838 13143357 16153257 20604942 26286714 32306514 39430071 48459771 78860142 96919542 118290213 145379313 162507701 236580426 290758626 325015402 436137939 487523103 872275878 975046206 1308413817 1462569309 2616827634 2925138618 4387707927 8775415854 13163123781 20638478027 26326247562 39489371343 41276956054 61915434081 78978742686 123830868162 185746302243 371492604486 557238906729 1114477813458 1671716720187 3343433440374 5015150160561 10030300321122