Search a number
-
+
4030100020232 = 23111366114513673
BaseRepresentation
bin111010101001010100101…
…011100001110000001000
3112021021101121012011021022
4322221110223201300020
51012012121101121412
612323222525532012
7564110430650126
oct72512453416010
915237347164238
104030100020232
111314179440350
12551088414008
13233062b105b0
14dd0b4b82916
156ec7378ea72
hex3aa54ae1c08

4030100020232 has 128 divisors (see below), whose sum is σ = 8899473179520. Its totient is φ = 1686769920000.

The previous prime is 4030100020231. The next prime is 4030100020283. The reversal of 4030100020232 is 2320200010304.

It is a self number, because there is not a number n which added to its sum of digits gives 4030100020232.

It is not an unprimeable number, because it can be changed into a prime (4030100020231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097221148 + ... + 1097224820.

It is an arithmetic number, because the mean of its divisors is an integer number (69527134215).

Almost surely, 24030100020232 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 4030100020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449736589760).

4030100020232 is an abundant number, since it is smaller than the sum of its proper divisors (4869373159288).

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

4030100020232 is a wasteful number, since it uses less digits than its factorization.

4030100020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 4030100020232 its reverse (2320200010304), we get a palindrome (6350300030536).

The spelling of 4030100020232 in words is "four trillion, thirty billion, one hundred million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 661 1144 1322 1451 2644 2902 3673 5288 5804 7271 7346 8593 11608 14542 14692 15961 17186 18863 29084 29384 31922 34372 37726 40403 47749 58168 63844 68744 75452 80806 94523 95498 127688 150904 161612 189046 190996 207493 323224 378092 381992 414986 525239 756184 829972 959111 1050478 1659944 1918222 2100956 2427853 3836444 4201912 4855706 5329523 7672888 9711412 10550221 10659046 12468443 19422824 21100442 21318092 24936886 26706383 31562089 42200884 42636184 49873772 53412766 58624753 63124178 69283799 84401768 99747544 106825532 117249506 126248356 137152873 138567598 213651064 234499012 252496712 274305746 277135196 347182979 468998024 548611492 554270392 694365958 762121789 1097222984 1388731916 1524243578 2777463832 3048487156 3522814703 6096974312 7045629406 14091258812 28182517624 38750961733 45796591139 77501923466 91593182278 155003846932 183186364556 310007693864 366372729112 503762502529 1007525005058 2015050010116 4030100020232