Search a number
-
+
1030056106200 = 2335211156069107
BaseRepresentation
bin11101111110101000010…
…00001101100011011000
310122110202101021211002120
432333110020031203120
5113334023330344300
62105111245101240
7134263515303552
oct16772410154330
93573671254076
101030056106200
11367931900390
1214776b857820
1376198176474
1437bd80d84d2
151bbda2743a0
hexefd420d8d8

1030056106200 has 96 divisors (see below), whose sum is σ = 3483462490560. Its totient is φ = 249710569600.

The previous prime is 1030056106153. The next prime is 1030056106201. The reversal of 1030056106200 is 26016500301.

1030056106200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10300561062002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030056106201) 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, 78027954 + ... + 78041153.

It is an arithmetic number, because the mean of its divisors is an integer number (36286067610).

Almost surely, 21030056106200 is an apocalyptic number.

1030056106200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030056106200 is an abundant number, since it is smaller than the sum of its proper divisors (2453406384360).

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

1030056106200 is a wasteful number, since it uses less digits than its factorization.

1030056106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156069137 (or 156069128 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 1030056106200 in words is "one trillion, thirty billion, fifty-six million, one hundred six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 156069107 312138214 468207321 624276428 780345535 936414642 1248552856 1560691070 1716760177 1872829284 2341036605 3121382140 3433520354 3745658568 3901727675 4682073210 5150280531 6242764280 6867040708 7803455350 8583800885 9364146420 10300561062 11705183025 13734081416 15606910700 17167601770 18728292840 20601122124 23410366050 25751402655 31213821400 34335203540 41202244248 42919004425 46820732100 51502805310 68670407080 85838008850 93641464200 103005610620 128757013275 171676017700 206011221240 257514026550 343352035400 515028053100 1030056106200