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10200221110100 = 2252734319424597
BaseRepresentation
bin1001010001101110110010…
…0011100100111101010100
31100010010112221120111100202
42110123230203210331110
52314110023101010400
633405530014200032
72101640662610210
oct224335443447524
940103487514322
1010200221110100
11328298699653a
121188a554b3018
1358cb52213478
1427399c729940
1512a4e79e14d5
hex946ec8e4f54

10200221110100 has 72 divisors (see below), whose sum is σ = 25297345032960. Its totient is φ = 3497108526720.

The previous prime is 10200221110063. The next prime is 10200221110147. The reversal of 10200221110100 is 101112200201.

10200221110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 23811002 + ... + 24235598.

Almost surely, 210200221110100 is an apocalyptic number.

10200221110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200221110100 is an abundant number, since it is smaller than the sum of its proper divisors (15097123922860).

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

10200221110100 is a wasteful number, since it uses less digits than its factorization.

10200221110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458937 (or 458930 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200221110100 its reverse (101112200201), we get a palindrome (10301333310301).

The spelling of 10200221110100 in words is "ten trillion, two hundred billion, two hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 34319 68638 137276 171595 240233 343190 424597 480466 686380 849194 857975 960932 1201165 1698388 1715950 2122985 2402330 2972179 3431900 4245970 4804660 5944358 6005825 8491940 10614925 11888716 12011650 14860895 21229850 24023300 29721790 42459700 59443580 74304475 148608950 297217900 14571744443 29143488886 58286977772 72858722215 102002211101 145717444430 204004422202 291434888860 364293611075 408008844404 510011055505 728587222150 1020022111010 1457174444300 2040044222020 2550055277525 5100110555050 10200221110100