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1133441140221 = 321322925696369
BaseRepresentation
bin10000011111100110010…
…110110100010111111101
311000100121110110201001200
4100133212112310113331
5122032241412441341
62224410133130113
7144613504505115
oct20374626642775
94010543421050
101133441140221
113a7764a7a665
12163803189939
1382b6306ba00
143cc0494c045
151e73b75bdb6
hex107e65b45fd

1133441140221 has 36 divisors (see below), whose sum is σ = 1833949926900. Its totient is φ = 673450412544.

The previous prime is 1133441140193. The next prime is 1133441140229. The reversal of 1133441140221 is 1220411443311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50153602500 + 1083287537721 = 223950^2 + 1040811^2 .

It is not a de Polignac number, because 1133441140221 - 26 = 1133441140157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133441140229) 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, 12804076 + ... + 12892293.

It is an arithmetic number, because the mean of its divisors is an integer number (50943053525).

Almost surely, 21133441140221 is an apocalyptic number.

It is an amenable number.

1133441140221 is a deficient number, since it is larger than the sum of its proper divisors (700508786679).

1133441140221 is a wasteful number, since it uses less digits than its factorization.

1133441140221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25696430 (or 25696414 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1133441140221 its reverse (1220411443311), we get a palindrome (2353852583532).

The spelling of 1133441140221 in words is "one trillion, one hundred thirty-three billion, four hundred forty-one million, one hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 1131 1521 3393 4901 14703 44109 25696369 77089107 231267321 334052797 745194701 1002158391 2235584103 3006475173 4342686361 6706752309 9687531113 13028059083 29062593339 39084177249 87187780017 125937904469 377813713407 1133441140221