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10322010020 = 22571729149551
BaseRepresentation
bin10011001110011110…
…10101111110100100
3222122100200102211102
421213033111332210
5132114413310040
64424124255232
7513534431450
oct114717257644
928570612742
1010322010020
1144175619a3
1220009a1518
13c8662354a
146dcc25660
154062b8515
hex2673d5fa4

10322010020 has 96 divisors (see below), whose sum is σ = 27134714880. Its totient is φ = 3215923200.

The previous prime is 10322010011. The next prime is 10322010029. The reversal of 10322010020 is 2001022301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10322010011) and next prime (10322010029).

It is a junction number, because it is equal to n+sod(n) for n = 10322009983 and 10322010010.

It is not an unprimeable number, because it can be changed into a prime (10322010029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5756 + ... + 143795.

It is an arithmetic number, because the mean of its divisors is an integer number (282653280).

Almost surely, 210322010020 is an apocalyptic number.

10322010020 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 10322010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567357440).

10322010020 is an abundant number, since it is smaller than the sum of its proper divisors (16812704860).

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

10322010020 is a wasteful number, since it uses less digits than its factorization.

10322010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149613 (or 149611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10322010020 its reverse (2001022301), we get a palindrome (12323032321).

The spelling of 10322010020 in words is "ten billion, three hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 29 34 35 58 68 70 85 116 119 140 145 170 203 238 290 340 406 476 493 580 595 812 986 1015 1190 1972 2030 2380 2465 3451 4060 4930 6902 9860 13804 17255 34510 69020 149551 299102 598204 747755 1046857 1495510 2093714 2542367 2991020 4187428 4336979 5084734 5234285 8673958 10169468 10468570 12711835 17347916 17796569 20937140 21684895 25423670 30358853 35593138 43369790 50847340 60717706 71186276 73728643 86739580 88982845 121435412 147457286 151794265 177965690 294914572 303588530 355931380 368643215 516100501 607177060 737286430 1032201002 1474572860 2064402004 2580502505 5161005010 10322010020