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10001010101000 = 235310181982321
BaseRepresentation
bin1001000110001000101010…
…1001111000101100001000
31022102002100120220200220112
42101202022221320230020
52302324032041213000
633134222311013452
72051356232145212
oct221421251705410
938362316820815
1010001010101000
11320644a526936
12115631a06a288
135771254c1219
142680a13495b2
1512523896c235
hex9188aa78b08

10001010101000 has 64 divisors (see below), whose sum is σ = 23404686093360. Its totient is φ = 4000007040000.

The previous prime is 10001010100999. The next prime is 10001010101003. The reversal of 10001010101000 is 10101010001.

It can be written as a sum of positive squares in 8 ways, for example, as 2626972516 + 9998383128484 = 51254^2 + 3162022^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10001010101003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9689840 + ... + 10672160.

Almost surely, 210001010101000 is an apocalyptic number.

10001010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001010101000 is an abundant number, since it is smaller than the sum of its proper divisors (13403675992360).

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

10001010101000 is a wasteful number, since it uses less digits than its factorization.

10001010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992523 (or 992509 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001010101000 its reverse (10101010001), we get a palindrome (10011111111001).

Subtracting from 10001010101000 its reverse (10101010001), we obtain a palindrome (9990909090999).

The spelling of 10001010101000 in words is "ten trillion, one billion, ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10181 20362 40724 50905 81448 101810 203620 254525 407240 509050 982321 1018100 1272625 1964642 2036200 2545250 3929284 4911605 5090500 7858568 9823210 10181000 19646420 24558025 39292840 49116050 98232100 122790125 196464200 245580250 491160500 982321000 10001010101 20002020202 40004040404 50005050505 80008080808 100010101010 200020202020 250025252525 400040404040 500050505050 1000101010100 1250126262625 2000202020200 2500252525250 5000505050500 10001010101000