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231233242332132 = 2232731372039314983
BaseRepresentation
bin110100100100111000101111…
…010001001111101111100100
31010022201200102020100100221100
4310210320233101033233210
5220302011140014112012
62135443030211520100
766464023206616215
oct6444705721175744
91108650366310840
10231233242332132
1167750516070657
1221b26674bb9030
139c0428001b931
144115a6a3cb40c
151baed9213d8dc
hexd24e2f44fbe4

231233242332132 has 144 divisors (see below), whose sum is σ = 597132707109120. Its totient is φ = 75429732363264.

The previous prime is 231233242332047. The next prime is 231233242332137.

231233242332132 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 3 + 324 + 2 + 3 + 321 + 3 + 2 = 666.

231233242332132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231233242332137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733955913 + ... + 734270895.

It is an arithmetic number, because the mean of its divisors is an integer number (4146754910480).

Almost surely, 2231233242332132 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 231233242332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298566353554560).

231233242332132 is an abundant number, since it is smaller than the sum of its proper divisors (365899464776988).

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

231233242332132 is a wasteful number, since it uses less digits than its factorization.

231233242332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317242 (or 317237 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 231233242332132 in words is "two hundred thirty-one trillion, two hundred thirty-three billion, two hundred forty-two million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 657 822 876 1233 1314 1644 2039 2466 2628 4078 4932 6117 8156 10001 12234 18351 20002 24468 30003 36702 40004 60006 73404 90009 120012 148847 180018 279343 297694 314983 360036 446541 558686 595388 629966 838029 893082 944949 1117372 1259932 1339623 1676058 1786164 1889898 2514087 2679246 2834847 3352116 3779796 5028174 5358492 5669694 10056348 11339388 20392039 22993759 40784078 43152671 45987518 61176117 68981277 81568156 86305342 91975036 122352234 129458013 137962554 172610684 183528351 206943831 244704468 258916026 275925108 367056702 388374039 413887662 517832052 642250337 734113404 776748078 827775324 1284500674 1553496156 1926751011 2569001348 3150144983 3853502022 5780253033 6300289966 7707004044 9450434949 11560506066 12600579932 18900869898 23121012132 28351304847 37801739796 46884274601 56702609694 87988296169 93768549202 113405219388 140652823803 175976592338 187537098404 263964888507 281305647606 351953184676 421958471409 527929777014 562611295212 791894665521 843916942818 1055859554028 1583789331042 1687833885636 3167578662084 6423145620337 12846291240674 19269436861011 25692582481348 38538873722022 57808310583033 77077747444044 115616621166066 231233242332132