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1058228056281 = 3111771101326227
BaseRepresentation
bin11110110011000110100…
…11101011000011011001
310202011110201210011102010
433121203103223003121
5114314222340300111
62130050535500133
7136311610031034
oct17314323530331
93664421704363
101058228056281
11378879171460
12151112527649
1378a378aa006
143930b84801b
151c7d8653aa6
hexf6634eb0d9

1058228056281 has 64 divisors (see below), whose sum is σ = 1654433703936. Its totient is φ = 594511948800.

The previous prime is 1058228056187. The next prime is 1058228056321. The reversal of 1058228056281 is 1826508228501.

It is not a de Polignac number, because 1058228056281 - 210 = 1058228055257 is a prime.

It is a super-3 number, since 3×10582280562813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1058228056281.

It is not an unprimeable number, because it can be changed into a prime (1058228052281) 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, 40335690 + ... + 40361916.

It is an arithmetic number, because the mean of its divisors is an integer number (25850526624).

Almost surely, 21058228056281 is an apocalyptic number.

1058228056281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1058228056281 is a deficient number, since it is larger than the sum of its proper divisors (596205647655).

1058228056281 is a wasteful number, since it uses less digits than its factorization.

1058228056281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27342.

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 1058228056281 in words is "one trillion, fifty-eight billion, two hundred twenty-eight million, fifty-six thousand, two hundred eighty-one".

Divisors: 1 3 11 17 33 51 71 187 213 561 781 1013 1207 2343 3039 3621 11143 13277 17221 26227 33429 39831 51663 71923 78681 189431 215769 288497 445859 568293 791153 865491 1222691 1337577 1862117 2373459 3668073 4904449 5586351 13449601 14713347 20483287 26567951 31655989 40348803 61449861 79703853 94967967 292247461 348215879 451655167 876742383 1044647637 1354965501 1886324521 4968206837 5658973563 14904620511 20749569731 32067516857 62248709193 96202550571 352742685427 1058228056281