Search a number
-
+
400112122520 = 235112339536771
BaseRepresentation
bin1011101001010001000…
…10100111101010011000
31102020202111112210011202
411310220202213222120
523023412200410040
6503450423213332
740623102632555
oct5645042475230
91366674483152
10400112122520
11144760953740
12656648a7248
132b965937826
141551902ba2c
15a61b695015
hex5d288a7a98

400112122520 has 64 divisors (see below), whose sum is σ = 1024793130240. Its totient is φ = 139169430400.

The previous prime is 400112122511. The next prime is 400112122523. The reversal of 400112122520 is 25221211004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400112122492 and 400112122501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400112122523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19758266 + ... + 19778505.

It is an arithmetic number, because the mean of its divisors is an integer number (16012392660).

Almost surely, 2400112122520 is an apocalyptic number.

400112122520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400112122520 is an abundant number, since it is smaller than the sum of its proper divisors (624681007720).

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

400112122520 is a wasteful number, since it uses less digits than its factorization.

400112122520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39536816 (or 39536812 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 400112122520 its reverse (25221211004), we get a palindrome (425333333524).

The spelling of 400112122520 in words is "four hundred billion, one hundred twelve million, one hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 39536771 79073542 158147084 197683855 316294168 395367710 434904481 790735420 869808962 909345733 1581470840 1739617924 1818691466 2174522405 3479235848 3637382932 4349044810 4546728665 7274765864 8698089620 9093457330 10002803063 17396179240 18186914660 20005606126 36373829320 40011212252 50014015315 80022424504 100028030630 200056061260 400112122520