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73022101000 = 2353601121501
BaseRepresentation
bin100010000000001110…
…1001101011000001000
320222111000222002002021
41010000131031120020
52144022124213000
653313525014224
75163361421512
oct1040035153010
9228430862067
1073022101000
1128a72088302
121219ab54374
136b695996b4
14376a132bb2
151d75abd11a
hex110074d608

73022101000 has 64 divisors (see below), whose sum is σ = 171157437360. Its totient is φ = 29160000000.

The previous prime is 73022100959. The next prime is 73022101001. The reversal of 73022101000 is 10122037.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10555096644 + 62467004356 = 102738^2 + 249934^2 .

It is not an unprimeable number, because it can be changed into a prime (73022101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540250 + ... + 661750.

Almost surely, 273022101000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73022101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85578718680).

73022101000 is an abundant number, since it is smaller than the sum of its proper divisors (98135336360).

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

73022101000 is a wasteful number, since it uses less digits than its factorization.

73022101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122123 (or 122109 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 73022101000 its reverse (10122037), we get a palindrome (73032223037).

The spelling of 73022101000 in words is "seventy-three billion, twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 601 1000 1202 2404 3005 4808 6010 12020 15025 24040 30050 60100 75125 120200 121501 150250 243002 300500 486004 601000 607505 972008 1215010 2430020 3037525 4860040 6075050 12150100 15187625 24300200 30375250 60750500 73022101 121501000 146044202 292088404 365110505 584176808 730221010 1460442020 1825552525 2920884040 3651105050 7302210100 9127762625 14604420200 18255525250 36511050500 73022101000