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1221024042 = 232725232647
BaseRepresentation
bin100100011000111…
…0101100100101010
310011002120110002200
41020301311210222
510000040232132
6321054441030
742154350600
oct11061654452
93132513080
101221024042
11577266487
122a0b03176
13165c75a44
14b8243870
15722ded7c
hex48c7592a

1221024042 has 72 divisors (see below), whose sum is σ = 3084528096. Its totient is φ = 348065424.

The previous prime is 1221024041. The next prime is 1221024053. The reversal of 1221024042 is 2404201221.

It is a super-2 number, since 2×12210240422 = 2981799422284035528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1221024041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459963 + ... + 462609.

It is an arithmetic number, because the mean of its divisors is an integer number (42840668).

Almost surely, 21221024042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221024042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542264048).

1221024042 is an abundant number, since it is smaller than the sum of its proper divisors (1863504054).

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

1221024042 is a wasteful number, since it uses less digits than its factorization.

1221024042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1221024042 is about 34943.1544368851. The cubic root of 1221024042 is about 1068.8286135669.

Adding to 1221024042 its reverse (2404201221), we get a palindrome (3625225263).

The spelling of 1221024042 in words is "one billion, two hundred twenty-one million, twenty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 523 882 1046 1569 2647 3138 3661 4707 5294 7322 7941 9414 10983 15882 18529 21966 23823 25627 32949 37058 47646 51254 55587 65898 76881 111174 129703 153762 166761 230643 259406 333522 389109 461286 778218 1167327 1384381 2334654 2768762 4153143 8306286 9690667 12459429 19381334 24918858 29072001 58144002 67834669 87216003 135669338 174432006 203504007 407008014 610512021 1221024042