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230120031233232 = 24327632936071051
BaseRepresentation
bin110100010100101011111110…
…101101111010010011010000
31010011210021000122021020111100
4310110223332231322103100
5220130241310443430412
62133231403302344400
766320423616452310
oct6424537655722320
91104707018236440
10230120031233232
11673613a2461508
1221986978a2b100
139b532c21cc89a
1440b7c24527440
151b90e3b93cedc
hexd14afeb7a4d0

230120031233232 has 120 divisors (see below), whose sum is σ = 736135143531840. Its totient is φ = 65738190067200.

The previous prime is 230120031233221. The next prime is 230120031233293. The reversal of 230120031233232 is 232332130021032.

230120031233232 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 20 + 0 + 312 + 3 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230120031233196 and 230120031233205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11655894 + ... + 24415157.

It is an arithmetic number, because the mean of its divisors is an integer number (6134459529432).

Almost surely, 2230120031233232 is an apocalyptic number.

It is an amenable number.

230120031233232 is an abundant number, since it is smaller than the sum of its proper divisors (506015112298608).

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

230120031233232 is a wasteful number, since it uses less digits than its factorization.

230120031233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36077401 (or 36077392 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230120031233232 its reverse (232332130021032), we get a palindrome (462452161254264).

The spelling of 230120031233232 in words is "two hundred thirty trillion, one hundred twenty billion, thirty-one million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 6329 12658 18987 25316 37974 44303 50632 56961 75948 88606 101264 113922 132909 151896 177212 227844 265818 303792 354424 398727 455688 531636 708848 797454 911376 1063272 1594908 2126544 3189816 6379632 36071051 72142102 108213153 144284204 216426306 252497357 288568408 324639459 432852612 504994714 577136816 649278918 757492071 865705224 1009989428 1298557836 1514984142 1731410448 2019978856 2272476213 2597115672 3029968284 4039957712 4544952426 5194231344 6059936568 9089904852 12119873136 18179809704 36359619408 228293681779 456587363558 684881045337 913174727116 1369762090674 1598055772453 1826349454232 2054643136011 2739524181348 3196111544906 3652698908464 4109286272022 4794167317359 5479048362696 6392223089812 8218572544044 9588334634718 10958096725392 12784446179624 14382501952077 16437145088088 19176669269436 25568892359248 28765003904154 32874290176176 38353338538872 57530007808308 76706677077744 115060015616616 230120031233232