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2001221201000 = 23537240841249
BaseRepresentation
bin11101000111110010000…
…101000010110001101000
321002022111112202021210202
4131013302011002301220
5230242000111413000
64131203123331332
7264404061353600
oct35076205026150
97068445667722
102001221201000
1170179321820a
12283a24b20b48
1311693956c808
146cc06b3bc00
15370ca304dd5
hex1d1f2142c68

2001221201000 has 96 divisors (see below), whose sum is σ = 5447405925000. Its totient is φ = 686132966400.

The previous prime is 2001221200999. The next prime is 2001221201017. The reversal of 2001221201000 is 1021221002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73972032484 + 1927249168516 = 271978^2 + 1388254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20371625 + ... + 20469624.

Almost surely, 22001221201000 is an apocalyptic number.

2001221201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001221201000 is an abundant number, since it is smaller than the sum of its proper divisors (3446184724000).

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

2001221201000 is a wasteful number, since it uses less digits than its factorization.

2001221201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40841284 (or 40841263 counting only the distinct ones).

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

Adding to 2001221201000 its reverse (1021221002), we get a palindrome (2002242422002).

The spelling of 2001221201000 in words is "two trillion, one billion, two hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 40841249 81682498 163364996 204206245 285888743 326729992 408412490 571777486 816824980 1021031225 1143554972 1429443715 1633649960 2001221201 2042062450 2287109944 2858887430 4002442402 4084124900 5105156125 5717774860 7147218575 8004884804 8168249800 10006106005 10210312250 11435549720 14294437150 16009769608 20012212010 20420624500 28588874300 35736092875 40024424020 40841249000 50030530025 57177748600 71472185750 80048848040 100061060050 142944371500 200122120100 250152650125 285888743000 400244240200 500305300250 1000610600500 2001221201000