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1132111420041 = 37297383973163
BaseRepresentation
bin10000011110010111000…
…110010101101010001001
311000020011210100220220010
4100132113012111222021
5122022031010420131
62224030152422133
7144535530202650
oct20362706255211
94006153326803
101132111420041
113a7142423168
121634b19a7949
13829b0729234
143cb1a0d2197
151e6aeb4ab46
hex10797195a89

1132111420041 has 128 divisors (see below), whose sum is σ = 1850311249920. Its totient is φ = 602169458688.

The previous prime is 1132111420031. The next prime is 1132111420091. The reversal of 1132111420041 is 1400241112311.

It is not a de Polignac number, because 1132111420041 - 210 = 1132111419017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1132111420031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 357921726 + ... + 357924888.

It is an arithmetic number, because the mean of its divisors is an integer number (14455556640).

Almost surely, 21132111420041 is an apocalyptic number.

It is an amenable number.

1132111420041 is a deficient number, since it is larger than the sum of its proper divisors (718199829879).

1132111420041 is a wasteful number, since it uses less digits than its factorization.

1132111420041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1132111420041 its reverse (1400241112311), we get a palindrome (2532352532352).

The spelling of 1132111420041 in words is "one trillion, one hundred thirty-two billion, one hundred eleven million, four hundred twenty thousand, forty-one".

Divisors: 1 3 7 21 29 73 83 87 97 203 219 249 291 511 581 609 679 1533 1743 2037 2117 2407 2813 3163 6059 6351 7081 7221 8051 8439 9489 14819 16849 18177 19691 21243 22141 24153 42413 44457 49567 50547 56357 59073 66423 91727 127239 148701 169071 175711 205349 230899 233479 262529 275181 306811 527133 587723 616047 642089 692697 700437 787587 920433 1229977 1437443 1616293 1634353 1763169 1837703 1926267 2147677 3689931 4114061 4312329 4848879 4903059 5513109 6443031 6696071 7613341 8897519 12342183 17043967 19164617 20088213 22397203 22840023 25465313 26692557 46872497 51131901 53293387 57493851 62282633 67191609 76395939 119307769 134152319 140617491 156780421 159880161 178257191 186847899 357923307 402456957 470341263 534771573 555773893 649518887 738494077 1667321679 1858967849 1948556661 2215482231 3890417251 4546632209 5169458539 5576903547 11671251753 13012774943 13639896627 15508375617 39038324829 53910067621 161730202863 377370473347 1132111420041