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122030010 = 23351373299
BaseRepresentation
bin1110100011000…
…00011110111010
322111121202201000
413101200132322
5222214430020
620035305430
73011144424
oct721403672
9274552630
10122030010
1162978a53
1234a4b276
131c387c0b
14122c7814
15aaa7090
hex74607ba

122030010 has 64 divisors (see below), whose sum is σ = 327888000. Its totient is φ = 32294016.

The previous prime is 122029997. The next prime is 122030011. The reversal of 122030010 is 10030221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122029974 and 122030001.

It is not an unprimeable number, because it can be changed into a prime (122030011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35341 + ... + 38639.

It is an arithmetic number, because the mean of its divisors is an integer number (5123250).

Almost surely, 2122030010 is an apocalyptic number.

122030010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122030010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163944000).

122030010 is an abundant number, since it is smaller than the sum of its proper divisors (205857990).

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

122030010 is a wasteful number, since it uses less digits than its factorization.

122030010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122030010 is about 11046.7194225254. The cubic root of 122030010 is about 496.0082296805.

Adding to 122030010 its reverse (10030221), we get a palindrome (132060231).

The spelling of 122030010 in words is "one hundred twenty-two million, thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 270 274 411 685 822 1233 1370 2055 2466 3299 3699 4110 6165 6598 7398 9897 12330 16495 18495 19794 29691 32990 36990 49485 59382 89073 98970 148455 178146 296910 445365 451963 890730 903926 1355889 2259815 2711778 4067667 4519630 6779445 8135334 12203001 13558890 20338335 24406002 40676670 61015005 122030010