Search a number
-
+
10202200101002 = 27131731481104743
BaseRepresentation
bin1001010001110110001010…
…0000110101000010001010
31100010022122212101122112002
42110131202200311002022
52314123101211213002
633410454230551002
72102041013011040
oct224354240650212
940108585348462
1010202200101002
113283801a93708
121189308208462
135900a9212cc0
14273b094b6390
1512a5b1604002
hex9476283508a

10202200101002 has 64 divisors (see below), whose sum is σ = 19943586077184. Its totient is φ = 3798464440320.

The previous prime is 10202200100947. The next prime is 10202200101011. The reversal of 10202200101002 is 20010100220201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97349843 + ... + 97454585.

It is an arithmetic number, because the mean of its divisors is an integer number (311618532456).

Almost surely, 210202200101002 is an apocalyptic number.

10202200101002 is a deficient number, since it is larger than the sum of its proper divisors (9741385976182).

10202200101002 is a wasteful number, since it uses less digits than its factorization.

10202200101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136263.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202200101002 its reverse (20010100220201), we get a palindrome (30212300321203).

The spelling of 10202200101002 in words is "ten trillion, two hundred two billion, two hundred million, one hundred one thousand, two".

Divisors: 1 2 7 13 14 17 26 34 91 119 182 221 238 442 1547 3094 31481 62962 104743 209486 220367 409253 440734 535177 733201 818506 1070354 1361659 1466402 1780631 2723318 2864771 3561262 3746239 5729542 6957301 7492478 9531613 12464417 13914602 19063226 23148203 24928834 46296406 48701107 97402214 162037421 324074842 3297414383 6594828766 23081900681 42866386979 46163801362 56056044511 85732773958 112112089022 300064708853 392392311577 600129417706 728728578643 784784623154 1457457157286 5101100050501 10202200101002