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1010021200020 = 2232572381336667
BaseRepresentation
bin11101011001010011111…
…01000111000010010100
310120120001010002010120100
432230221331013002110
5113022010411400040
62051555231334100
7132654160355430
oct16545175070224
93516033063510
101010021200020
1135a3906aa888
121438ba081330
13743244996b1
1436c573279c0
151b416410b30
hexeb29f47094

1010021200020 has 144 divisors (see below), whose sum is σ = 3502887792768. Its totient is φ = 230764343040.

The previous prime is 1010021199947. The next prime is 1010021200061. The reversal of 1010021200020 is 200021200101.

1010021200020 is digitally balanced in base 2 and base 4, because in such bases 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010021199975 and 1010021200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831727 + ... + 3168393.

It is an arithmetic number, because the mean of its divisors is an integer number (24325609672).

Almost surely, 21010021200020 is an apocalyptic number.

1010021200020 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 1010021200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751443896384).

1010021200020 is an abundant number, since it is smaller than the sum of its proper divisors (2492866592748).

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

1010021200020 is a wasteful number, since it uses less digits than its factorization.

1010021200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339070 (or 339065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010021200020 its reverse (200021200101), we get a palindrome (1210042400121).

The spelling of 1010021200020 in words is "one trillion, ten billion, twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2381 4762 7143 9524 11905 14286 16667 21429 23810 28572 33334 35715 42858 47620 50001 66668 71430 83335 85716 100002 107145 142860 150003 166670 200004 214290 250005 300006 333340 336667 428580 500010 600012 673334 750015 1000020 1010001 1346668 1500030 1683335 2020002 2356669 3000060 3030003 3366670 4040004 4713338 5050005 6060006 6733340 7070007 9426676 10100010 11783345 12120012 14140014 15150015 20200020 21210021 23566690 28280028 30300030 35350035 42420042 47133380 60600060 70700070 84840084 106050105 141400140 212100210 424200420 801604127 1603208254 2404812381 3206416508 4008020635 4809624762 5611228889 7214437143 8016041270 9619249524 11222457778 12024061905 14428874286 16032082540 16833686667 22444915556 24048123810 28056144445 28857748572 33667373334 36072185715 48096247620 50501060001 56112288890 67334746668 72144371430 84168433335 101002120002 112224577780 144288742860 168336866670 202004240004 252505300005 336673733340 505010600010 1010021200020