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2001101320020 = 2235113781945181
BaseRepresentation
bin11101000111101010111…
…011101110111101010100
321002022012012011201000110
4131013222323232331110
5230241223414220040
64131143202043020
7264401104366425
oct35075273567524
97068165151013
102001101320020
11701731587920
122839b0949470
1311691a787b1a
146cbd4c5364c
15370bea24980
hex1d1eaeeef54

2001101320020 has 96 divisors (see below), whose sum is σ = 6277656502656. Its totient is φ = 472004236800.

The previous prime is 2001101320019. The next prime is 2001101320021. The reversal of 2001101320020 is 200231011002.

It is an interprime number because it is at equal distance from previous prime (2001101320019) and next prime (2001101320021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001101319978 and 2001101320005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101320021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40948171 + ... + 40997010.

It is an arithmetic number, because the mean of its divisors is an integer number (65392255236).

Almost surely, 22001101320020 is an apocalyptic number.

2001101320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101320020 is an abundant number, since it is smaller than the sum of its proper divisors (4276555182636).

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

2001101320020 is a wasteful number, since it uses less digits than its factorization.

2001101320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81945241 (or 81945239 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001101320020 its reverse (200231011002), we get a palindrome (2201332331022).

The spelling of 2001101320020 in words is "two trillion, one billion, one hundred one million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 81945181 163890362 245835543 327780724 409725905 491671086 819451810 901396991 983342172 1229177715 1638903620 1802793982 2458355430 2704190973 3031971697 3605587964 4506984955 4916710860 5408381946 6063943394 9013969910 9095915091 10816763892 12127886788 13520954865 15159858485 18027939820 18191830182 27041909730 30319716970 33351688667 36383660364 45479575455 54083819460 60639433940 66703377334 90959150910 100055066001 133406754668 166758443335 181918301820 200110132002 333516886670 400220264004 500275330005 667033773340 1000550660010 2001101320020