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10122020011010 = 2573233115351613
BaseRepresentation
bin1001001101001011011101…
…1010000011110000000010
31022211122200222102001111102
42103102313122003300002
52311314344110323020
633305554121214402
72063202043334525
oct223226732036002
938748628361442
1010122020011010
1132527a7463326
121175870031402
1358566b9a537b
1426dca085cbbc
1512846c410475
hex934b7683c02

10122020011010 has 64 divisors (see below), whose sum is σ = 18564933954528. Its totient is φ = 3972680515584.

The previous prime is 10122020011003. The next prime is 10122020011021. The reversal of 10122020011010 is 1011002022101.

It can be written as a sum of positive squares in 16 ways, for example, as 765903275281 + 9356116735729 = 875159^2 + 3058777^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10122020010982 and 10122020011000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196087964 + ... + 196139576.

Almost surely, 210122020011010 is an apocalyptic number.

10122020011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122020011010 is a deficient number, since it is larger than the sum of its proper divisors (8442913943518).

10122020011010 is a wasteful number, since it uses less digits than its factorization.

10122020011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53079.

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

Adding to 10122020011010 its reverse (1011002022101), we get a palindrome (11133022033111).

The spelling of 10122020011010 in words is "ten trillion, one hundred twenty-two billion, twenty million, eleven thousand, ten".

Divisors: 1 2 5 10 73 146 233 365 466 730 1153 1165 2306 2330 5765 11530 17009 34018 51613 84169 85045 103226 168338 170090 258065 268649 420845 516130 537298 841690 1343245 2686490 3767749 7535498 12025829 18838745 19611377 24051658 37677490 39222754 59509789 60129145 98056885 119019578 120258290 196113770 297548945 595097890 877885517 1755771034 4344214597 4389427585 8688429194 8778855170 13865780837 21721072985 27731561674 43442145970 69328904185 138657808370 1012202001101 2024404002202 5061010005505 10122020011010