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10010020000032 = 2532132673616453
BaseRepresentation
bin1001000110101010001110…
…1011111011000100100000
31022102221121111121222211200
42101222203223323010200
52303001010110000112
633142312324241200
72052125425055343
oct221524353730440
938387544558750
1010010020000032
11320a253369388
121158013540200
13577c30029120
142686b7bba45a
151255b4951cdc
hex91aa3afb120

10010020000032 has 72 divisors (see below), whose sum is σ = 30655686261564. Its totient is φ = 3080006152704.

The previous prime is 10010020000031. The next prime is 10010020000037. The reversal of 10010020000032 is 23000002001001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8169558763536 + 1840461236496 = 2858244^2 + 1356636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 10010019999969 and 10010020000023.

It is not an unprimeable number, because it can be changed into a prime (10010020000031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1336804483 + ... + 1336811970.

Almost surely, 210010020000032 is an apocalyptic number.

10010020000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010020000032 is an abundant number, since it is smaller than the sum of its proper divisors (20645666261532).

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

10010020000032 is a wasteful number, since it uses less digits than its factorization.

10010020000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673616482 (or 2673616471 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10010020000032 its reverse (23000002001001), we get a palindrome (33010022001033).

The spelling of 10010020000032 in words is "ten trillion, ten billion, twenty million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 2673616453 5347232906 8020849359 10694465812 16041698718 21388931624 24062548077 32083397436 34757013889 42777863248 48125096154 64166794872 69514027778 85555726496 96250192308 104271041667 128333589744 139028055556 192500384616 208542083334 256667179488 278056111112 312813125001 385000769232 417084166668 556112222224 625626250002 770001538464 834168333336 1112224444448 1251252500004 1668336666672 2502505000008 3336673333344 5005010000016 10010020000032