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10323311220 = 2233540914673
BaseRepresentation
bin10011001110101000…
…10011101001110100
3222122110010112202000
421213110103221310
5132120231424340
64424212215300
7513551461155
oct114724235164
928573115660
1010323311220
114418270572
12200130a530
13c8698a8a1
146dd08392c
15406473d30
hex267513a74

10323311220 has 96 divisors (see below), whose sum is σ = 32131693440. Its totient is φ = 2751621120.

The previous prime is 10323311203. The next prime is 10323311231. The reversal of 10323311220 is 2211332301.

10323311220 is a `hidden beast` number, since 10 + 323 + 311 + 2 + 20 = 666.

10323311220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10323311193 and 10323311202.

It is a congruent number.

It is an unprimeable number.

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, 2206804 + ... + 2211476.

It is an arithmetic number, because the mean of its divisors is an integer number (334705140).

Almost surely, 210323311220 is an apocalyptic number.

10323311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10323311220 is an abundant number, since it is smaller than the sum of its proper divisors (21808382220).

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

10323311220 is a wasteful number, since it uses less digits than its factorization.

10323311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10323311220 its reverse (2211332301), we get a palindrome (12534643521).

The spelling of 10323311220 in words is "ten billion, three hundred twenty-three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4091 4673 8182 9346 12273 14019 16364 18692 20455 23365 24546 28038 36819 40910 42057 46730 49092 56076 61365 70095 73638 81820 84114 93460 110457 122730 126171 140190 147276 168228 184095 210285 220914 245460 252342 280380 368190 420570 441828 504684 552285 630855 736380 841140 1104570 1261710 2209140 2523420 19117243 38234486 57351729 76468972 95586215 114703458 172055187 191172430 229406916 286758645 344110374 382344860 516165561 573517290 688220748 860275935 1032331122 1147034580 1720551870 2064662244 2580827805 3441103740 5161655610 10323311220