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113430222034311 = 37133716767243133
BaseRepresentation
bin11001110010101000001000…
…000101110101010110000111
3112212121211020012110211202010
4121302220020011311112013
5104331420043320044221
61041125042530345303
732615030433652110
oct3162501005652607
9485554205424663
10113430222034311
113316253a244a26
121087b653a2b233
134b3a568805120
1420020a2b21207
15d1a8a8bd6c76
hex672a08175587

113430222034311 has 64 divisors (see below), whose sum is σ = 192317515020288. Its totient is φ = 57865673783808.

The previous prime is 113430222034211. The next prime is 113430222034321.

113430222034311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113430222034311 - 27 = 113430222034183 is a prime.

It is a super-2 number, since 2×1134302220343112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113430222034321) 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, 31934700 + ... + 35308433.

It is an arithmetic number, because the mean of its divisors is an integer number (3004961172192).

Almost surely, 2113430222034311 is an apocalyptic number.

113430222034311 is a deficient number, since it is larger than the sum of its proper divisors (78887292985977).

113430222034311 is a wasteful number, since it uses less digits than its factorization.

113430222034311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67243360.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 113430222034311 in words is "one hundred thirteen trillion, four hundred thirty billion, two hundred twenty-two million, thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 13 21 37 39 91 111 167 259 273 481 501 777 1169 1443 2171 3367 3507 6179 6513 10101 15197 18537 43253 45591 80327 129759 240981 562289 1686867 67243133 201729399 470701931 874160729 1412105793 2487995921 2622482187 6119125103 7463987763 11229603211 17415971447 18357375309 32343946973 33688809633 52247914341 78607222477 97031840919 145984841743 226407628811 235821667431 415495318807 437954525229 679222886433 1021893892201 1246485956421 2908467231649 3065681676603 5401439144491 8725401694947 16204317433473 37810074011437 113430222034311