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1221111342 = 2331119257421
BaseRepresentation
bin100100011001000…
…1010111000101110
310011002201212212000
41020302022320232
510000101030332
6321100353130
742155163243
oct11062127056
93132655760
101221111342
11577316030
122a0b457a6
13165ca66b9
14b82675ca
157230ab7c
hex48c8ae2e

1221111342 has 128 divisors (see below), whose sum is σ = 3135628800. Its totient is φ = 348364800.

The previous prime is 1221111319. The next prime is 1221111349. The reversal of 1221111342 is 2431111221.

It is a super-2 number, since 2×12211113422 = 2982225819122081928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221111349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2900292 + ... + 2900712.

It is an arithmetic number, because the mean of its divisors is an integer number (24497100).

Almost surely, 21221111342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221111342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567814400).

1221111342 is an abundant number, since it is smaller than the sum of its proper divisors (1914517458).

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

1221111342 is a wasteful number, since it uses less digits than its factorization.

1221111342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1221111342 is about 34944.4035862683. The cubic root of 1221111342 is about 1068.8540857692.

Adding to 1221111342 its reverse (2431111221), we get a palindrome (3652222563).

The spelling of 1221111342 in words is "one billion, two hundred twenty-one million, one hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 257 297 342 418 421 513 514 594 627 771 842 1026 1254 1263 1542 1881 2313 2526 2827 3762 3789 4626 4631 4883 5643 5654 6939 7578 7999 8481 9262 9766 11286 11367 13878 13893 14649 15998 16962 22734 23997 25443 27786 29298 41679 43947 47994 50886 53713 71991 76329 83358 87894 87989 107426 108197 125037 131841 143982 152658 161139 175978 215973 216394 250074 263682 263967 322278 324591 431946 483417 527934 649182 791901 966834 973773 1190167 1450251 1583802 1947546 2055743 2375703 2380334 2900502 2921319 3570501 4111486 4751406 5842638 6167229 7141002 10711503 12334458 18501687 21423006 22613173 32134509 37003374 45226346 55505061 64269018 67839519 111010122 135679038 203518557 407037114 610555671 1221111342