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10312434220 = 225112910871487
BaseRepresentation
bin10011001101010101…
…10100001000101100
3222121200122221022011
421212222310020230
5132104440343340
64423143131004
7513360146614
oct114652641054
928550587264
1010312434220
114412111510
121bb9743a64
13c8464caaa
146db851a44
154055260ea
hex266ab422c

10312434220 has 96 divisors (see below), whose sum is σ = 24478433280. Its totient is φ = 3614903040.

The previous prime is 10312434179. The next prime is 10312434227. The reversal of 10312434220 is 2243421301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10312434191 and 10312434200.

It is not an unprimeable number, because it can be changed into a prime (10312434227) 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, 6934317 + ... + 6935803.

It is an arithmetic number, because the mean of its divisors is an integer number (254983680).

Almost surely, 210312434220 is an apocalyptic number.

10312434220 is a gapful number since it is divisible by the number (10) 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 10312434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239216640).

10312434220 is an abundant number, since it is smaller than the sum of its proper divisors (14165999060).

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

10312434220 is a wasteful number, since it uses less digits than its factorization.

10312434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10312434220 its reverse (2243421301), we get a palindrome (12555855521).

The spelling of 10312434220 in words is "ten billion, three hundred twelve million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1087 1276 1487 1595 2174 2974 3190 4348 5435 5948 6380 7435 10870 11957 14870 16357 21740 23914 29740 31523 32714 43123 47828 59785 63046 65428 81785 86246 119570 126092 157615 163570 172492 215615 239140 315230 327140 346753 431230 474353 630460 693506 862460 948706 1387012 1616369 1733765 1897412 2371765 3232738 3467530 4743530 6465476 6935060 8081845 9487060 16163690 17780059 32327380 35560118 46874701 71120236 88900295 93749402 177800590 187498804 234373505 355601180 468747010 515621711 937494020 1031243422 2062486844 2578108555 5156217110 10312434220