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1001212202000 = 2453500606101
BaseRepresentation
bin11101001000111001110…
…01011100110000010000
310112201022012101200000102
432210130321130300100
5112400440310431000
62043541152111532
7132222654204443
oct16443471346020
93481265350012
101001212202000
1135668020622a
1214205bb355a8
137354c472c2a
143665d43165a
151b09cdb23d5
hexe91ce5cc10

1001212202000 has 40 divisors (see below), whose sum is σ = 2420931109272. Its totient is φ = 400484880000.

The previous prime is 1001212201943. The next prime is 1001212202009. The reversal of 1001212202000 is 2022121001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14416324624 + 986795877376 = 120068^2 + 993376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1001212202009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250301051 + ... + 250305050.

Almost surely, 21001212202000 is an apocalyptic number.

1001212202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001212202000 is an abundant number, since it is smaller than the sum of its proper divisors (1419718907272).

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

1001212202000 is an equidigital number, since it uses as much as digits as its factorization.

1001212202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500606124 (or 500606108 counting only the distinct ones).

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

Adding to 1001212202000 its reverse (2022121001), we get a palindrome (1003234323001).

The spelling of 1001212202000 in words is "one trillion, one billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 500606101 1001212202 2002424404 2503030505 4004848808 5006061010 8009697616 10012122020 12515152525 20024244040 25030305050 40048488080 50060610100 62575762625 100121220200 125151525250 200242440400 250303050500 500606101000 1001212202000