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1130312213010 = 232537615564477
BaseRepresentation
bin10000011100101011110…
…110111010001000010010
311000001112101211201211200
4100130223312322020102
5122004334411304020
62223131441252030
7144443122200261
oct20345366721022
94001471751750
101130312213010
113a63a9860302
1216308b334016
1382784a560a6
143c9c91845d8
151e606bec590
hex1072bdba212

1130312213010 has 96 divisors (see below), whose sum is σ = 3067718979312. Its totient is φ = 288462435840.

The previous prime is 1130312212993. The next prime is 1130312213089. The reversal of 1130312213010 is 103122130311.

1130312213010 is a `hidden beast` number, since 1 + 1 + 30 + 312 + 21 + 301 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 112366414521 + 1017945798489 = 335211^2 + 1008933^2 .

It is a super-2 number, since 2×11303122130102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2579109 + ... + 2985368.

Almost surely, 21130312213010 is an apocalyptic number.

1130312213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1130312213010 is an abundant number, since it is smaller than the sum of its proper divisors (1937406766302).

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

1130312213010 is a wasteful number, since it uses less digits than its factorization.

1130312213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564588 (or 5564585 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1130312213010 its reverse (103122130311), we get a palindrome (1233434343321).

The spelling of 1130312213010 in words is "one trillion, one hundred thirty billion, three hundred twelve million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 111 122 183 185 222 305 333 366 370 549 555 610 666 915 1098 1110 1665 1830 2257 2745 3330 4514 5490 6771 11285 13542 20313 22570 33855 40626 67710 101565 203130 5564477 11128954 16693431 27822385 33386862 50080293 55644770 83467155 100160586 166934310 205885649 250401465 339433097 411771298 500802930 617656947 678866194 1018299291 1029428245 1235313894 1697165485 1852970841 2036598582 2058856490 3054897873 3088284735 3394330970 3705941682 5091496455 6109795746 6176569470 9264854205 10182992910 12559024589 15274489365 18529708410 25118049178 30548978730 37677073767 62795122945 75354147534 113031221301 125590245890 188385368835 226062442602 376770737670 565156106505 1130312213010