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10334103204020 = 2253971930167433
BaseRepresentation
bin1001011001100001100010…
…0011001111000010110100
31100120221010102100112200212
42112120120203033002310
52323303220410012040
633551231012124552
72114420465620511
oct226303043170264
940527112315625
1010334103204020
113324739938252
1211aa99a306758
1359c66a46689b
1427a25d616308
1512dc31589d65
hex966188cf0b4

10334103204020 has 48 divisors (see below), whose sum is σ = 21757730612688. Its totient is φ = 4122954316800.

The previous prime is 10334103203999. The next prime is 10334103204023. The reversal of 10334103204020 is 2040230143301.

It can be written as a sum of positive squares in 8 ways, for example, as 200564248336 + 10133538955684 = 447844^2 + 3183322^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334103204023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153216224 + ... + 153283656.

It is an arithmetic number, because the mean of its divisors is an integer number (453286054431).

Almost surely, 210334103204020 is an apocalyptic number.

10334103204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334103204020 is an abundant number, since it is smaller than the sum of its proper divisors (11423627408668).

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

10334103204020 is a wasteful number, since it uses less digits than its factorization.

10334103204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87140 (or 87138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10334103204020 its reverse (2040230143301), we get a palindrome (12374333347321).

The spelling of 10334103204020 in words is "ten trillion, three hundred thirty-four billion, one hundred three million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 397 794 1588 1985 3970 7940 19301 38602 67433 77204 96505 134866 193010 269732 337165 386020 674330 1348660 7662497 15324994 26770901 30649988 38312485 53541802 76624970 107083604 133854505 153249940 267709010 535418020 1301524333 2603048666 5206097332 6507621665 13015243330 26030486660 516705160201 1033410320402 2066820640804 2583525801005 5167051602010 10334103204020