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10202031002202 = 23131572437341851
BaseRepresentation
bin1001010001110101100001…
…1011110001001001011010
31100010022020002012112120120
42110131120123301021122
52314122224414032302
633410425350334110
72102033560464444
oct224353033611132
940108202175516
1010202031002202
113283725597236
12118927b65a336
13590080187c40
14273ad0c59494
1512a5a18509bc
hex947586f125a

10202031002202 has 64 divisors (see below), whose sum is σ = 22122703311744. Its totient is φ = 3117803270400.

The previous prime is 10202031002197. The next prime is 10202031002213. The reversal of 10202031002202 is 20220013020201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29672577 + ... + 30014427.

It is an arithmetic number, because the mean of its divisors is an integer number (345667239246).

Almost surely, 210202031002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202031002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11061351655872).

10202031002202 is an abundant number, since it is smaller than the sum of its proper divisors (11920672309542).

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

10202031002202 is a wasteful number, since it uses less digits than its factorization.

10202031002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344463.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10202031002202 its reverse (20220013020201), we get a palindrome (30422044022403).

The spelling of 10202031002202 in words is "ten trillion, two hundred two billion, thirty-one million, two thousand, two hundred two".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 2437 4082 4874 6123 7311 12246 14622 31681 63362 95043 190086 341851 382609 683702 765218 1025553 1147827 2051106 2295654 4444063 4973917 8888126 9947834 13332189 14921751 26664378 29843502 53670607 107341214 161011821 322023642 697717891 833090887 1395435782 1666181774 2093153673 2499272661 4186307346 4998545322 10830181531 21660363062 32490544593 64981089186 130795269259 261590538518 392385807777 784771615554 1700338500367 3400677000734 5101015501101 10202031002202