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1141221016 = 2313171953641
BaseRepresentation
bin100010000000101…
…1010011010011000
32221112102000221001
41010001122122120
54314123033031
6305124154344
740165134655
oct10401323230
92845360831
101141221016
1153620a271
1227a2389b4
13152584210
14ab7ccc2c
156a2c9861
hex4405a698

1141221016 has 128 divisors (see below), whose sum is σ = 2620900800. Its totient is φ = 460062720.

The previous prime is 1141220981. The next prime is 1141221043. The reversal of 1141221016 is 6101221411.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1141220984 and 1141221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780056 + ... + 1780696.

Almost surely, 21141221016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141221016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310450400).

1141221016 is an abundant number, since it is smaller than the sum of its proper divisors (1479679784).

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

1141221016 is a wasteful number, since it uses less digits than its factorization.

1141221016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1141221016 is about 33781.9628796197. The cubic root of 1141221016 is about 1045.0167548423.

Adding to 1141221016 its reverse (6101221411), we get a palindrome (7242442427).

The spelling of 1141221016 in words is "one billion, one hundred forty-one million, two hundred twenty-one thousand, sixteen".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 53 68 76 104 106 136 152 212 221 247 323 424 442 494 641 646 689 884 901 988 1007 1282 1292 1378 1768 1802 1976 2014 2564 2584 2756 3604 4028 4199 5128 5512 7208 8056 8333 8398 10897 11713 12179 13091 16666 16796 17119 21794 23426 24358 26182 33332 33592 33973 34238 43588 46852 48716 52364 66664 67946 68476 87176 93704 97432 104728 135892 136952 141661 158327 207043 222547 271784 283322 316654 414086 441649 445094 566644 577541 633308 645487 828172 883298 890188 1133288 1155082 1266616 1290974 1656344 1766596 1780376 2310164 2581948 2691559 3533192 4620328 5163896 5383118 7508033 8391331 10766236 10973279 15016066 16782662 21532472 21946558 30032132 33565324 43893116 60064264 67130648 87786232 142652627 285305254 570610508 1141221016