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1001330020000 = 2554192635079
BaseRepresentation
bin11101001001000111110…
…10111000111010100000
310112201121102002102221001
432210203322320322200
5112401210441120000
62044001001241344
7132225614510242
oct16444372707240
93481542072831
101001330020000
11356730767682
12142093493254
137356a9b491b
1436670d40092
151b0a83d646a
hexe923eb8ea0

1001330020000 has 120 divisors (see below), whose sum is σ = 2593076824800. Its totient is φ = 379451232000.

The previous prime is 1001330019979. The next prime is 1001330020001. The reversal of 1001330020000 is 200331001.

1001330020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1001330020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 937540 + ... + 1697539.

It is an arithmetic number, because the mean of its divisors is an integer number (21608973540).

Almost surely, 21001330020000 is an apocalyptic number.

1001330020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001330020000 is an abundant number, since it is smaller than the sum of its proper divisors (1591746804800).

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

1001330020000 is an equidigital number, since it uses as much as digits as its factorization.

1001330020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635128 (or 2635105 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1001330020000 its reverse (200331001), we get a palindrome (1001530351001).

The spelling of 1001330020000 in words is "one trillion, one billion, three hundred thirty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3800 4000 4750 5000 7600 9500 10000 11875 15200 19000 20000 23750 38000 47500 76000 95000 190000 380000 2635079 5270158 10540316 13175395 21080632 26350790 42161264 50066501 52701580 65876975 84322528 100133002 105403160 131753950 200266004 210806320 250332505 263507900 329384875 400532008 421612640 500665010 527015800 658769750 801064016 1001330020 1054031600 1251662525 1317539500 1602128032 1646924375 2002660040 2108063200 2503325050 2635079000 3293848750 4005320080 5006650100 5270158000 6258312625 6587697500 8010640160 10013300200 10540316000 12516625250 13175395000 20026600400 25033250500 26350790000 31291563125 40053200800 50066501000 52701580000 62583126250 100133002000 125166252500 200266004000 250332505000 500665010000 1001330020000