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1022121414 = 2322910119387
BaseRepresentation
bin111100111011000…
…101010111000110
32122020022010222200
4330323011113012
54043130341124
6245231335330
734220613546
oct7473052706
92566263880
101022121414
11484a62a46
12246381546
131339b4092
1499a69326
155eb00bc9
hex3cec55c6

1022121414 has 48 divisors (see below), whose sum is σ = 2313763920. Its totient is φ = 325684800.

The previous prime is 1022121391. The next prime is 1022121421. The reversal of 1022121414 is 4141212201.

1022121414 is a `hidden beast` number, since 10 + 221 + 21 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43029 + ... + 62415.

It is an arithmetic number, because the mean of its divisors is an integer number (48203415).

Almost surely, 21022121414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022121414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156881960).

1022121414 is an abundant number, since it is smaller than the sum of its proper divisors (1291642506).

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

1022121414 is a wasteful number, since it uses less digits than its factorization.

1022121414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19525 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1022121414 is about 31970.6336189948. The cubic root of 1022121414 is about 1007.3200902002.

Adding to 1022121414 its reverse (4141212201), we get a palindrome (5163333615).

The spelling of 1022121414 in words is "one billion, twenty-two million, one hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2929 5858 8787 17574 19387 26361 38774 52722 58161 116322 174483 348966 562223 1124446 1686669 1958087 3373338 3916174 5060007 5874261 10120014 11748522 17622783 35245566 56784523 113569046 170353569 340707138 511060707 1022121414