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10022031030 = 23511101300691
BaseRepresentation
bin10010101010101110…
…00000111010110110
3221212110012221000110
421111113000322312
5131011114443110
64334250523450
7503232600234
oct112527007266
927773187013
1010022031030
1142831a2280
121b38436586
13c3943219b
146b1059954
153d9cb0a20
hex2555c0eb6

10022031030 has 64 divisors (see below), whose sum is σ = 26499384576. Its totient is φ = 2405520000.

The previous prime is 10022030983. The next prime is 10022031037. The reversal of 10022031030 is 3013022001.

It is a happy number.

10022031030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100220310302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022030997 and 10022031015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022031037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117016 + ... + 183675.

It is an arithmetic number, because the mean of its divisors is an integer number (414052884).

Almost surely, 210022031030 is an apocalyptic number.

10022031030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022031030 is an abundant number, since it is smaller than the sum of its proper divisors (16477353546).

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

10022031030 is a wasteful number, since it uses less digits than its factorization.

10022031030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300813.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10022031030 its reverse (3013022001), we get a palindrome (13035053031).

The spelling of 10022031030 in words is "ten billion, twenty-two million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 300691 601382 902073 1503455 1804146 3006910 3307601 4510365 6615202 9020730 9922803 16538005 19845606 30369791 33076010 49614015 60739582 91109373 99228030 151848955 182218746 303697910 334067701 455546865 668135402 911093730 1002203103 1670338505 2004406206 3340677010 5011015515 10022031030