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1023212330100 = 2232523730727097
BaseRepresentation
bin11101110001111000011…
…01010001110001110100
310121211002102111222012200
432320330031101301310
5113231014324030400
62102020211144500
7133632104205552
oct16707415216164
93554072458180
101023212330100
11364a3a75a084
1214637b8a5130
137564733b2cc
1437749206bd2
151b939518b00
hexee3c351c74

1023212330100 has 108 divisors (see below), whose sum is σ = 3293883451404. Its totient is φ = 265482109440.

The previous prime is 1023212330083. The next prime is 1023212330167. The reversal of 1023212330100 is 10332123201.

1023212330100 is a `hidden beast` number, since 1 + 0 + 2 + 321 + 2 + 330 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 151580963556 + 871631366544 = 389334^2 + 933612^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15330249 + ... + 15396848.

Almost surely, 21023212330100 is an apocalyptic number.

1023212330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023212330100 is an abundant number, since it is smaller than the sum of its proper divisors (2270671121304).

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

1023212330100 is a wasteful number, since it uses less digits than its factorization.

1023212330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30727154 (or 30727144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1023212330100 its reverse (10332123201), we get a palindrome (1033544453301).

The spelling of 1023212330100 in words is "one trillion, twenty-three billion, two hundred twelve million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 30727097 61454194 92181291 122908388 153635485 184362582 276543873 307270970 368725164 460906455 553087746 614541940 768177425 921812910 1106175492 1136902589 1382719365 1536354850 1843625820 2273805178 2304532275 2765438730 3072709700 3410707767 4547610356 4609064550 5530877460 5684512945 6821415534 6913596825 9218129100 10232123301 11369025890 13642831068 13827193650 17053538835 20464246602 22738051780 27654387300 28422564725 34107077670 40928493204 51160616505 56845129450 68214155340 85267694175 102321233010 113690258900 170535388350 204642466020 255803082525 341070776700 511606165050 1023212330100