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10022002201000 = 235357301174901
BaseRepresentation
bin1001000111010110110111…
…1000011001000110101000
31022111002112120020212111201
42101311231320121012220
52303200030030413000
633152013320333544
72053031362101016
oct221655570310650
938432476225451
1010022002201000
113214341a73309
12115a3b83142b4
135790bc59b27a
142690d32c38b6
15125a6685896a
hex91d6de191a8

10022002201000 has 64 divisors (see below), whose sum is σ = 23452028505360. Its totient is φ = 4008708000000.

The previous prime is 10022002200929. The next prime is 10022002201033. The reversal of 10022002201000 is 10220022001.

It can be written as a sum of positive squares in 8 ways, for example, as 4739220964 + 10017262980036 = 68842^2 + 3165006^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57213550 + ... + 57388450.

Almost surely, 210022002201000 is an apocalyptic number.

10022002201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022002201000 is an abundant number, since it is smaller than the sum of its proper divisors (13430026304360).

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

10022002201000 is a wasteful number, since it uses less digits than its factorization.

10022002201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232223 (or 232209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022002201000 its reverse (10220022001), we get a palindrome (10032222223001).

The spelling of 10022002201000 in words is "ten trillion, twenty-two billion, two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 57301 114602 174901 229204 286505 349802 458408 573010 699604 874505 1146020 1399208 1432525 1749010 2292040 2865050 3498020 4372525 5730100 6996040 7162625 8745050 11460200 14325250 17490100 21862625 28650500 34980200 43725250 57301000 87450500 174901000 10022002201 20044004402 40088008804 50110011005 80176017608 100220022010 200440044020 250550055025 400880088040 501100110050 1002200220100 1252750275125 2004400440200 2505500550250 5011001100500 10022002201000