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133040051331 = 311371011139547
BaseRepresentation
bin111101111100111001…
…1100001010010000011
3110201101210022212001120
41323321303201102003
54134431223120311
6141041234003323
712416566530525
oct1737163412203
9421353285046
10133040051331
1151470705750
122194aa16543
13c712970085
146621139a15
1536d9bb9706
hex1ef9ce1483

133040051331 has 64 divisors (see below), whose sum is σ = 202508038656. Its totient is φ = 76978944000.

The previous prime is 133040051321. The next prime is 133040051381. The reversal of 133040051331 is 133150040331.

It is not a de Polignac number, because 133040051331 - 210 = 133040050307 is a prime.

It is a super-2 number, since 2×1330400513312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133040051321) 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, 13930500 + ... + 13940046.

It is an arithmetic number, because the mean of its divisors is an integer number (3164188104).

Almost surely, 2133040051331 is an apocalyptic number.

133040051331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133040051331 is a deficient number, since it is larger than the sum of its proper divisors (69467987325).

133040051331 is a wasteful number, since it uses less digits than its factorization.

133040051331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 133040051331 its reverse (133150040331), we get a palindrome (266190091662).

The spelling of 133040051331 in words is "one hundred thirty-three billion, forty million, fifty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 37 101 111 113 303 339 407 1111 1221 1243 3333 3729 3737 4181 9547 11211 11413 12543 28641 34239 41107 45991 105017 123321 125543 137973 315051 353239 376629 422281 964247 1059717 1078811 1266843 2892741 3236433 3885629 4645091 10606717 11656887 11866921 13935273 31820151 35600763 35677139 39916007 107031417 108959911 119748021 326879733 392448529 439076077 1177345587 1198559021 1317228231 3595677063 4031516707 12094550121 44346683777 133040051331