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122021010 = 232510313163
BaseRepresentation
bin1110100010111…
…10010010010010
322111121022100200
413101132102102
5222214133020
620035200030
73011106246
oct721362222
9274538320
10122021010
1162972211
1234a46016
131c383aa7
14122c4426
15aaa4590
hex745e492

122021010 has 48 divisors (see below), whose sum is σ = 320359104. Its totient is φ = 32220576.

The previous prime is 122020979. The next prime is 122021041. The reversal of 122021010 is 10120221.

It is an interprime number because it is at equal distance from previous prime (122020979) and next prime (122021041).

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 = 122020983 and 122021001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689 + ... + 15851.

It is an arithmetic number, because the mean of its divisors is an integer number (6674148).

Almost surely, 2122021010 is an apocalyptic number.

122021010 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 122021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160179552).

122021010 is an abundant number, since it is smaller than the sum of its proper divisors (198338094).

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

122021010 is a wasteful number, since it uses less digits than its factorization.

122021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13279 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122021010 is about 11046.3120542559. The cubic root of 122021010 is about 495.9960354565.

Adding to 122021010 its reverse (10120221), we get a palindrome (132141231).

The spelling of 122021010 in words is "one hundred twenty-two million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 13163 26326 39489 65815 78978 118467 131630 197445 236934 394890 592335 1184670 1355789 2711578 4067367 6778945 8134734 12202101 13557890 20336835 24404202 40673670 61010505 122021010