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113032212012132 = 22372238731691121
BaseRepresentation
bin11001101100110101011100…
…110110000101110001100100
3112211012202220012101211010120
4121230311130312011301210
5104303404432233342012
61040222140434321540
732544210404411520
oct3154653466056144
9484182805354116
10113032212012132
1133019767a343a6
12108164971292b0
134b0bb7954246a
141dcab06d68d80
15d10361d7158c
hex66cd5cd85c64

113032212012132 has 96 divisors (see below), whose sum is σ = 302806003605504. Its totient is φ = 32146368652800.

The previous prime is 113032212012113. The next prime is 113032212012193. The reversal of 113032212012132 is 231210212230311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163203532 + ... + 163894652.

It is an arithmetic number, because the mean of its divisors is an integer number (3154229204224).

Almost surely, 2113032212012132 is an apocalyptic number.

113032212012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113032212012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151403001802752).

113032212012132 is an abundant number, since it is smaller than the sum of its proper divisors (189773791593372).

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

113032212012132 is a wasteful number, since it uses less digits than its factorization.

113032212012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700089 (or 700087 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113032212012132 its reverse (231210212230311), we get a palindrome (344242424242443).

The spelling of 113032212012132 in words is "one hundred thirteen trillion, thirty-two billion, two hundred twelve million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 669 892 1338 1561 2676 3122 4683 6244 8731 9366 17462 18732 26193 34924 52386 61117 104772 122234 183351 244468 366702 691121 733404 1382242 1947013 2073363 2764484 3894026 4146726 4837847 5841039 7788052 8293452 9675694 11682078 13629091 14513541 19351388 23364156 27258182 29027082 40887273 54516364 58054164 81774546 154119983 163549092 308239966 462359949 616479932 924719898 1078839881 1849439796 2157679762 3236519643 4315359524 6034177451 6473039286 12068354902 12946078572 18102532353 24136709804 36205064706 42239242157 72410129412 84478484314 126717726471 168956968628 253435452942 506870905884 1345621571573 2691243143146 4036864714719 5382486286292 8073729429438 9419351001011 16147458858876 18838702002022 28258053003033 37677404004044 56516106006066 113032212012132