Search a number
-
+
10321023020 = 22571110196577
BaseRepresentation
bin10011001110010111…
…00101000000101100
3222122021211021220212
421213023211000230
5132114140214040
64424051201552
7513523151060
oct114713450054
928567737825
1010321023020
114416a483a0
1220005a62b8
13c86369219
146dca49aa0
15406170d65
hex2672e502c

10321023020 has 96 divisors (see below), whose sum is σ = 27052945920. Its totient is φ = 3213296640.

The previous prime is 10321022993. The next prime is 10321023043. The reversal of 10321023020 is 2032012301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10321022986 and 10321023004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565972 + ... + 1572548.

It is an arithmetic number, because the mean of its divisors is an integer number (281801520).

Almost surely, 210321023020 is an apocalyptic number.

10321023020 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 10321023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526472960).

10321023020 is an abundant number, since it is smaller than the sum of its proper divisors (16731922900).

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

10321023020 is a wasteful number, since it uses less digits than its factorization.

10321023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10321023020 its reverse (2032012301), we get a palindrome (12353035321).

The spelling of 10321023020 in words is "ten billion, three hundred twenty-one million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1019 1540 2038 4076 5095 6577 7133 10190 11209 13154 14266 20380 22418 26308 28532 32885 35665 44836 46039 56045 65770 71330 72347 78463 92078 112090 131540 142660 144694 156926 184156 224180 230195 289388 313852 361735 392315 460390 506429 723470 784630 920780 1012858 1446940 1569260 2025716 2532145 5064290 6701963 10128580 13403926 26807852 33509815 46913741 67019630 73721593 93827482 134039260 147443186 187654964 234568705 294886372 368607965 469137410 516051151 737215930 938274820 1032102302 1474431860 2064204604 2580255755 5160511510 10321023020