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1001011200020 = 22513103107349337
BaseRepresentation
bin11101001000100001110…
…10101100000000010100
310112200210012011201010122
432210100322230000110
5112400032331400040
62043505212011112
7132214663545026
oct16442072540024
93480705151118
101001011200020
113565877a9497
12142004760a98
1373519927850
143664086c016
151b08a40b1b5
hexe910eac014

1001011200020 has 96 divisors (see below), whose sum is σ = 2307173476608. Its totient is φ = 362593999872.

The previous prime is 1001011199999. The next prime is 1001011200029. The reversal of 1001011200020 is 200021101001.

It is a junction number, because it is equal to n+sod(n) for n = 1001011199980 and 1001011200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011200029) 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, 2690792 + ... + 3040128.

It is an arithmetic number, because the mean of its divisors is an integer number (24033057048).

Almost surely, 21001011200020 is an apocalyptic number.

1001011200020 is a gapful number since it is divisible by the number (10) 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 1001011200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153586738304).

1001011200020 is an abundant number, since it is smaller than the sum of its proper divisors (1306162276588).

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

1001011200020 is a wasteful number, since it uses less digits than its factorization.

1001011200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349569 (or 349567 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001011200020 its reverse (200021101001), we get a palindrome (1201032301021).

The spelling of 1001011200020 in words is "one trillion, one billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 107 130 206 214 260 412 428 515 535 1030 1070 1339 1391 2060 2140 2678 2782 5356 5564 6695 6955 11021 13390 13910 22042 26780 27820 44084 55105 110210 143273 220420 286546 349337 573092 698674 716365 1397348 1432730 1746685 2865460 3493370 4541381 6986740 9082762 18165524 22706905 35981711 37379059 45413810 71963422 74758118 90827620 143926844 149516236 179908555 186895295 359817110 373790590 467762243 485927767 719634220 747581180 935524486 971855534 1871048972 1943711068 2338811215 2429638835 3850043077 4677622430 4859277670 7700086154 9355244860 9718555340 15400172308 19250215385 38500430770 50050560001 77000861540 100101120002 200202240004 250252800005 500505600010 1001011200020