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10213023220 = 2251497014889
BaseRepresentation
bin10011000001011111…
…00101110111110100
3222100202121100001021
421200233211313310
5131404013220340
64405232310524
7511042156621
oct114057456764
928322540037
1010213023220
114370a92564
121b903a2444
13c69b8440a
146cc575348
153eb93ae4a
hex260be5df4

10213023220 has 48 divisors (see below), whose sum is σ = 21626514000. Its totient is φ = 4051174400.

The previous prime is 10213023217. The next prime is 10213023239. The reversal of 10213023220 is 2232031201.

It can be written as a sum of positive squares in 8 ways, for example, as 2729104 + 10210294116 = 1652^2 + 101046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10213023194 and 10213023203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086536 + ... + 2091424.

It is an arithmetic number, because the mean of its divisors is an integer number (450552375).

Almost surely, 210213023220 is an apocalyptic number.

10213023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213023220 is an abundant number, since it is smaller than the sum of its proper divisors (11413490780).

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

10213023220 is a wasteful number, since it uses less digits than its factorization.

10213023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10213023220 its reverse (2232031201), we get a palindrome (12445054421).

The spelling of 10213023220 in words is "ten billion, two hundred thirteen million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 149 298 596 701 745 1402 1490 2804 2980 3505 4889 7010 9778 14020 19556 24445 48890 97780 104449 208898 417796 522245 728461 1044490 1456922 2088980 2913844 3427189 3642305 6854378 7284610 13708756 14569220 17135945 34271890 68543780 510651161 1021302322 2042604644 2553255805 5106511610 10213023220