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2000012112020 = 2251341255173547
BaseRepresentation
bin11101000110101010000…
…000101111000010010100
321002012101021122012112102
4131012222000233002110
5230232011100041040
64130443132341232
7264332110312046
oct35065200570224
97065337565472
102000012112020
1170122277381a
12283748014818
131167a5c15350
146cb30323a96
15370590c1515
hex1d1aa02f094

2000012112020 has 96 divisors (see below), whose sum is σ = 4635303273216. Its totient is φ = 720162432000.

The previous prime is 2000012111987. The next prime is 2000012112023. The reversal of 2000012112020 is 202112100002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2000012111992 and 2000012112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000012112023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27156887 + ... + 27230433.

It is an arithmetic number, because the mean of its divisors is an integer number (48284409096).

Almost surely, 22000012112020 is an apocalyptic number.

2000012112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000012112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317651636608).

2000012112020 is an abundant number, since it is smaller than the sum of its proper divisors (2635291161196).

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

2000012112020 is a wasteful number, since it uses less digits than its factorization.

2000012112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76161 (or 76159 counting only the distinct ones).

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

Adding to 2000012112020 its reverse (202112100002), we get a palindrome (2202124212022).

The spelling of 2000012112020 in words is "two trillion, twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2551 2665 5102 5330 10204 10660 12755 25510 33163 51020 66326 73547 104591 132652 147094 165815 209182 294188 331630 367735 418364 522955 663260 735470 956111 1045910 1359683 1470940 1912222 2091820 2719366 3015427 3824444 4780555 5438732 6030854 6798415 9561110 12061708 13596830 15077135 19122220 27193660 30154270 39200551 60308540 78401102 156802204 187618397 196002755 375236794 392005510 750473588 784011020 938091985 1876183970 2439039161 3752367940 4878078322 7692354277 9756156644 12195195805 15384708554 24390391610 30769417108 38461771385 48780783220 76923542770 100000605601 153847085540 200001211202 400002422404 500003028005 1000006056010 2000012112020