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313021020 = 223513401309
BaseRepresentation
bin10010101010000…
…101001001011100
3210211000010010010
4102222011021130
51120113133040
651021043220
710520430504
oct2252051134
9724003103
10313021020
11150768364
12889b6510
134cb09750
142d802a04
151c731e80
hex12a8525c

313021020 has 48 divisors (see below), whose sum is σ = 943881120. Its totient is φ = 77051136.

The previous prime is 313021013. The next prime is 313021031. The reversal of 313021020 is 20120313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 313020987 and 313021005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199875 + ... + 201434.

It is an arithmetic number, because the mean of its divisors is an integer number (19664190).

Almost surely, 2313021020 is an apocalyptic number.

313021020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313021020 is an abundant number, since it is smaller than the sum of its proper divisors (630860100).

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

313021020 is a wasteful number, since it uses less digits than its factorization.

313021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401334 (or 401332 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313021020 is about 17692.4000633040. The cubic root of 313021020 is about 678.9813323111.

Adding to 313021020 its reverse (20120313), we get a palindrome (333141333).

The spelling of 313021020 in words is "three hundred thirteen million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 401309 802618 1203927 1605236 2006545 2407854 4013090 4815708 5217017 6019635 8026180 10434034 12039270 15651051 20868068 24078540 26085085 31302102 52170170 62604204 78255255 104340340 156510510 313021020