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1001020210000 = 2454100102021
BaseRepresentation
bin11101001000100010111…
…01000011101101010000
310112200210211010110111121
432210101131003231100
5112400042133210000
62043510133052024
7132215133252136
oct16442135035520
93480724113447
101001020210000
113565918a2858
12142007787014
137351b7608b5
1436641b35756
151b08b0dab1a
hexe911743b50

1001020210000 has 50 divisors (see below), whose sum is σ = 2423570054642. Its totient is φ = 400408080000.

The previous prime is 1001020209947. The next prime is 1001020210031. The reversal of 1001020210000 is 120201001.

It can be written as a sum of positive squares in 5 ways, for example, as 459830459664 + 541189750336 = 678108^2 + 735656^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50041011 + ... + 50061010.

Almost surely, 21001020210000 is an apocalyptic number.

1001020210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001020210000 is an abundant number, since it is smaller than the sum of its proper divisors (1422549844642).

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

1001020210000 is an equidigital number, since it uses as much as digits as its factorization.

1001020210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100102049 (or 100102028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001020210000 its reverse (120201001), we get a palindrome (1001140411001).

The spelling of 1001020210000 in words is "one trillion, one billion, twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 100102021 200204042 400408084 500510105 800816168 1001020210 1601632336 2002040420 2502550525 4004080840 5005101050 8008161680 10010202100 12512752625 20020404200 25025505250 40040808400 50051010500 62563763125 100102021000 125127526250 200204042000 250255052500 500510105000 1001020210000