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10422410233224 = 23311263487130817
BaseRepresentation
bin1001011110101010100000…
…0011110100010110001000
31100220101001200121102111010
42113222220003310112020
52331230044004430344
634055553354203520
72123665020156243
oct227525003642610
940811050542433
1010422410233224
113359134957320
121203b241235a0
135a7aa1600ba2
1428063973c25a
1513119dea08b9
hex97aa80f4588

10422410233224 has 128 divisors (see below), whose sum is σ = 28539617863680. Its totient is φ = 3145549363200.

The previous prime is 10422410233223. The next prime is 10422410233241. The reversal of 10422410233224 is 42233201422401.

It is a super-2 number, since 2×104224102332242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10422410233191 and 10422410233200.

It is not an unprimeable number, because it can be changed into a prime (10422410233223) 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 31 ways as a sum of consecutive naturals, for example, 338187864 + ... + 338218680.

It is an arithmetic number, because the mean of its divisors is an integer number (222965764560).

Almost surely, 210422410233224 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 10422410233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269808931840).

10422410233224 is an abundant number, since it is smaller than the sum of its proper divisors (18117207630456).

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

10422410233224 is a wasteful number, since it uses less digits than its factorization.

10422410233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35971 (or 35967 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10422410233224 its reverse (42233201422401), we get a palindrome (52655611655625).

The spelling of 10422410233224 in words is "ten trillion, four hundred twenty-two billion, four hundred ten million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 263 264 526 789 1052 1578 2104 2893 3156 4871 5786 6312 8679 9742 11572 14613 17358 19484 23144 29226 30817 34716 38968 53581 58452 61634 69432 92451 107162 116904 123268 160743 184902 214324 246536 321486 338987 369804 428648 642972 677974 739608 1016961 1281073 1285944 1355948 2033922 2562146 2711896 3843219 4067844 5124292 7686438 8104871 8135688 10248584 14091803 15372876 16209742 24314613 28183606 30745752 32419484 42275409 48629226 56367212 64838968 84550818 89153581 97258452 112734424 150109607 169101636 178307162 194516904 267460743 300219214 338203272 356614324 450328821 534921486 600438428 713228648 900657642 1069842972 1200876856 1651205677 1801315284 2139685944 3302411354 3602630568 4953617031 6604822708 9907234062 13209645416 19814468124 39478826641 39628936248 78957653282 118436479923 157915306564 236872959846 315830613128 434267093051 473745919692 868534186102 947491839384 1302801279153 1737068372204 2605602558306 3474136744408 5211205116612 10422410233224