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1012002020220 = 2235531372322917
BaseRepresentation
bin11101011101000000000…
…01010101101101111100
310120202011011100020001110
432232200001111231330
5113040040004121340
62052523551242020
7133054232145432
oct16564001255574
93522134306043
101012002020220
11360207837374
12144171519310
137457b989a59
1436da442cd52
151b4d0285680
hexeba0055b7c

1012002020220 has 96 divisors (see below), whose sum is σ = 2908144669248. Its totient is φ = 262842591232.

The previous prime is 1012002020207. The next prime is 1012002020221. The reversal of 1012002020220 is 220202002101.

1012002020220 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 super-2 number, since 2×10120020202202 (a number of 25 digits) contains 22 as substring.

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 = 1012002020196 and 1012002020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012002020221) 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, 725799 + ... + 1597118.

It is an arithmetic number, because the mean of its divisors is an integer number (30293173638).

Almost surely, 21012002020220 is an apocalyptic number.

1012002020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012002020220 is an abundant number, since it is smaller than the sum of its proper divisors (1896142649028).

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

1012002020220 is a wasteful number, since it uses less digits than its factorization.

1012002020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323119 (or 2323117 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1012002020220 its reverse (220202002101), we get a palindrome (1232204022321).

The spelling of 1012002020220 in words is "one trillion, twelve billion, two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 137 159 212 265 274 318 411 530 548 636 685 795 822 1060 1370 1590 1644 2055 2740 3180 4110 7261 8220 14522 21783 29044 36305 43566 72610 87132 108915 145220 217830 435660 2322917 4645834 6968751 9291668 11614585 13937502 23229170 27875004 34843755 46458340 69687510 123114601 139375020 246229202 318239629 369343803 492458404 615573005 636479258 738687606 954718887 1231146010 1272958516 1477375212 1591198145 1846719015 1909437774 2462292020 3182396290 3693438030 3818875548 4773594435 6364792580 7386876060 9547188870 16866700337 19094377740 33733400674 50600101011 67466801348 84333501685 101200202022 168667003370 202400404044 253000505055 337334006740 506001010110 1012002020220