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10310311220 = 22511377317351
BaseRepresentation
bin10011001101000101…
…01101110100110100
3222121112200002002112
421212202231310310
5132103414424340
64423025430152
7513333125246
oct114642556464
928545602075
1010310311220
1144109a1470
121bb8a9b358
13c84088691
146db45c096
15405257065
hex2668add34

10310311220 has 96 divisors (see below), whose sum is σ = 24592087296. Its totient is φ = 3597696000.

The previous prime is 10310311213. The next prime is 10310311229. The reversal of 10310311220 is 2211301301.

10310311220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10310311195 and 10310311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310311229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585545 + ... + 602895.

It is an arithmetic number, because the mean of its divisors is an integer number (256167576).

Almost surely, 210310311220 is an apocalyptic number.

10310311220 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 10310311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12296043648).

10310311220 is an abundant number, since it is smaller than the sum of its proper divisors (14281776076).

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

10310311220 is a wasteful number, since it uses less digits than its factorization.

10310311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17481 (or 17479 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10310311220 its reverse (2211301301), we get a palindrome (12521612521).

The spelling of 10310311220 in words is "ten billion, three hundred ten million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 73 74 110 146 148 185 220 292 365 370 407 730 740 803 814 1460 1606 1628 2035 2701 3212 4015 4070 5402 8030 8140 10804 13505 16060 17351 27010 29711 34702 54020 59422 69404 86755 118844 148555 173510 190861 297110 347020 381722 594220 641987 763444 954305 1266623 1283974 1908610 2533246 2567948 3209935 3817220 5066492 6333115 6419870 7061857 12666230 12839740 13932853 14123714 25332460 27865706 28247428 35309285 46865051 55731412 69664265 70618570 93730102 139328530 141237140 187460204 234325255 278657060 468650510 515515561 937301020 1031031122 2062062244 2577577805 5155155610 10310311220