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355121020 = 225194791951
BaseRepresentation
bin10101001010101…
…011011101111100
3220202020000110101
4111022223131330
51211402333040
655123250444
711541323152
oct2512533574
9822200411
10355121020
11172502751
129ab19a24
135875a0a7
14352413d2
152129b09a
hex152ab77c

355121020 has 48 divisors (see below), whose sum is σ = 787046400. Its totient is φ = 134222400.

The previous prime is 355120999. The next prime is 355121021. The reversal of 355121020 is 20121553.

It is a super-2 number, since 2×3551210202 = 252221877691680800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181045 + ... + 182995.

It is an arithmetic number, because the mean of its divisors is an integer number (16396800).

Almost surely, 2355121020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393523200).

355121020 is an abundant number, since it is smaller than the sum of its proper divisors (431925380).

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

355121020 is a wasteful number, since it uses less digits than its factorization.

355121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 355121020 is about 18844.6549451031. The cubic root of 355121020 is about 708.1503266397.

Adding to 355121020 its reverse (20121553), we get a palindrome (375242573).

The spelling of 355121020 in words is "three hundred fifty-five million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 479 958 1916 1951 2395 3902 4790 7804 9101 9580 9755 18202 19510 36404 37069 39020 45505 74138 91010 148276 182020 185345 370690 741380 934529 1869058 3738116 4672645 9345290 17756051 18690580 35512102 71024204 88780255 177560510 355121020