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10344041022 = 23742331219
BaseRepresentation
bin10011010001000110…
…11000101000111110
3222200220010201200110
421220203120220332
5132141033303042
64430232410450
7514222620000
oct115043305076
928626121613
1010344041022
114428a3a137
122008246a26
13c8b068243
14701b1c370
154081bb09c
hex2688d8a3e

10344041022 has 80 divisors (see below), whose sum is σ = 25184799360. Its totient is φ = 2826852336.

The previous prime is 10344040981. The next prime is 10344041027. The reversal of 10344041022 is 22014044301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10344041022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344041027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315729 + ... + 346947.

It is an arithmetic number, because the mean of its divisors is an integer number (314809992).

Almost surely, 210344041022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344041022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592399680).

10344041022 is an abundant number, since it is smaller than the sum of its proper divisors (14840758338).

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

10344041022 is an equidigital number, since it uses as much as digits as its factorization.

10344041022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31275 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10344041022 its reverse (22014044301), we get a palindrome (32358085323).

The spelling of 10344041022 in words is "ten billion, three hundred forty-four million, forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 343 483 686 966 1029 1127 2058 2254 2401 3381 4802 6762 7203 7889 14406 15778 23667 31219 47334 55223 62438 93657 110446 165669 187314 218533 331338 437066 655599 718037 1311198 1436074 1529731 2154111 3059462 4308222 4589193 5026259 9178386 10052518 10708117 15078777 21416234 30157554 32124351 35183813 64248702 70367626 74956819 105551439 149913638 211102878 224870457 246286691 449740914 492573382 738860073 1477720146 1724006837 3448013674 5172020511 10344041022