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111706790132 = 22737241541827
BaseRepresentation
bin110100000001000111…
…1100101100011110100
3101200100001000220021102
41220002033211203310
53312233414241012
6123152320105232
711033125022660
oct1500217454364
9350301026242
10111706790132
1143413630873
1219796465218
13a6c2cb2cb2
145599b558a0
152d8bd8d2c2
hex1a023e58f4

111706790132 has 96 divisors (see below), whose sum is σ = 231108869376. Its totient is φ = 46245427200.

The previous prime is 111706790093. The next prime is 111706790171. The reversal of 111706790132 is 231097607111.

It is an interprime number because it is at equal distance from previous prime (111706790093) and next prime (111706790171).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135074303 + ... + 135075129.

It is an arithmetic number, because the mean of its divisors is an integer number (2407384056).

Almost surely, 2111706790132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111706790132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115554434688).

111706790132 is an abundant number, since it is smaller than the sum of its proper divisors (119402079244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111706790132 is a wasteful number, since it uses less digits than its factorization.

111706790132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The spelling of 111706790132 in words is "one hundred eleven billion, seven hundred six million, seven hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 74 148 241 259 482 518 541 827 964 1036 1082 1654 1687 2164 3308 3374 3787 5789 6748 7574 8917 11578 15148 17834 20017 23156 30599 35668 40034 61198 62419 80068 122396 124838 130381 140119 199307 214193 249676 260762 280238 398614 428386 447407 521524 560476 797228 856772 894814 912667 1395149 1789628 1825334 2790298 3131849 3650668 4824097 5580596 6263698 7374359 9648194 12527396 14748718 16554059 19296388 29497436 33108118 33768679 51620513 66216236 67537358 103241026 107825087 115878413 135074716 206482052 215650174 231756826 431300348 463513652 754775609 1509551218 3019102436 3989528219 7979056438 15958112876 27926697533 55853395066 111706790132