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10311422220 = 223251113733793
BaseRepresentation
bin10011001101001101…
…11101000100001100
3222121121202112002200
421212212331010030
5132104211002340
64423105321500
7513345433311
oct114646750414
928547675080
1010311422220
114411590150
121bb9336290
13c84387288
146db66ad08
154053c6330
hex2669bd10c

10311422220 has 144 divisors (see below), whose sum is σ = 34155287712. Its totient is φ = 2497259520.

The previous prime is 10311422203. The next prime is 10311422263. The reversal of 10311422220 is 2222411301.

It is a happy number.

10311422220 is a `hidden beast` number, since 10 + 3 + 11 + 422 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10311422193 and 10311422202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2716644 + ... + 2720436.

It is an arithmetic number, because the mean of its divisors is an integer number (237189498).

Almost surely, 210311422220 is an apocalyptic number.

10311422220 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 10311422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077643856).

10311422220 is an abundant number, since it is smaller than the sum of its proper divisors (23843865492).

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

10311422220 is a wasteful number, since it uses less digits than its factorization.

10311422220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10311422220 its reverse (2222411301), we get a palindrome (12533833521).

The spelling of 10311422220 in words is "ten billion, three hundred eleven million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1373 1980 2746 3793 4119 5492 6865 7586 8238 11379 12357 13730 15103 15172 16476 18965 20595 22758 24714 27460 30206 34137 37930 41190 41723 45309 45516 49428 56895 60412 61785 68274 75515 75860 82380 83446 90618 113790 123570 125169 135927 136548 151030 166892 170685 181236 208615 226545 227580 247140 250338 271854 302060 341370 375507 417230 453090 500676 543708 625845 679635 682740 751014 834460 906180 1251690 1359270 1502028 1877535 2503380 2718540 3755070 5207789 7510140 10415578 15623367 20831156 26038945 31246734 46870101 52077890 57285679 62493468 78116835 93740202 104155780 114571358 156233670 171857037 187480404 229142716 234350505 286428395 312467340 343714074 468701010 515571111 572856790 687428148 859285185 937402020 1031142222 1145713580 1718570370 2062284444 2577855555 3437140740 5155711110 10311422220