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1010021310 = 232523487933
BaseRepresentation
bin111100001100111…
…011001110111110
32121101112101202200
4330030323032332
54032031140220
6244120132330
734013016354
oct7414731676
92541471680
101010021310
11479148a61
122423070a6
1313133865c
14981d97d4
155da10890
hex3c33b3be

1010021310 has 48 divisors (see below), whose sum is σ = 2740237344. Its totient is φ = 257628096.

The previous prime is 1010021297. The next prime is 1010021317. The reversal of 1010021310 is 131200101.

It is a super-2 number, since 2×10100213102 = 2040286093308232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010021292 and 1010021301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010021317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 241897 + ... + 246036.

It is an arithmetic number, because the mean of its divisors is an integer number (57088278).

Almost surely, 21010021310 is an apocalyptic number.

1010021310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010021310 is an abundant number, since it is smaller than the sum of its proper divisors (1730216034).

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

1010021310 is a wasteful number, since it uses less digits than its factorization.

1010021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487969 (or 487966 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010021310 is about 31780.8324308851. The cubic root of 1010021310 is about 1003.3293398614.

Adding to 1010021310 its reverse (131200101), we get a palindrome (1141221411).

It can be divided in two parts, 1010021 and 310, that added together give a triangular number (1010331 = T1421).

The spelling of 1010021310 in words is "one billion, ten million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 487933 975866 1463799 2439665 2927598 4391397 4879330 7318995 8782794 11222459 14637990 21956985 22444918 33667377 43913970 56112295 67334754 101002131 112224590 168336885 202004262 336673770 505010655 1010021310