Search a number
-
+
351030600090 = 232510733363397
BaseRepresentation
bin1010001101110110000…
…11011110000110011010
31020120001221000002220200
411012323003132012122
521222402313200330
6425132232003030
734234602604152
oct5067303360632
91216057002820
10351030600090
11125964693465
1258047530476
1327143260971
1412dc06a7762
1591e777ba60
hex51bb0de19a

351030600090 has 48 divisors (see below), whose sum is σ = 912767106888. Its totient is φ = 93599180928.

The previous prime is 351030600083. The next prime is 351030600091. The reversal of 351030600090 is 90006030153.

351030600090 is a `hidden beast` number, since 3 + 51 + 0 + 3 + 0 + 600 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111431118969 + 239599481121 = 333813^2 + 489489^2 .

It is not an unprimeable number, because it can be changed into a prime (351030600091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784272 + ... + 1147668.

Almost surely, 2351030600090 is an apocalyptic number.

351030600090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

351030600090 is an abundant number, since it is smaller than the sum of its proper divisors (561736506798).

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

351030600090 is a wasteful number, since it uses less digits than its factorization.

351030600090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374143 (or 374140 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 351030600090 in words is "three hundred fifty-one billion, thirty million, six hundred thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10733 21466 32199 53665 64398 96597 107330 160995 193194 321990 363397 482985 726794 965970 1090191 1816985 2180382 3270573 3633970 5450955 6541146 10901910 16352865 32705730 3900340001 7800680002 11701020003 19501700005 23402040006 35103060009 39003400010 58505100015 70206120018 117010200030 175515300045 351030600090