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10104322302100 = 22521334922270933
BaseRepresentation
bin1001001100001001100010…
…0010101010000010010100
31022202222000121001021220001
42103002120202222002110
52311022123002131400
633253510034021044
72062004345313535
oct223023042520224
938688017037801
1010104322302100
11324624557a714
121172351117784
13583aab295670
1426d0a224068c
15127c83869a6a
hex930988aa094

10104322302100 has 72 divisors (see below), whose sum is σ = 23680684122200. Its totient is φ = 3720136481280.

The previous prime is 10104322302079. The next prime is 10104322302157. The reversal of 10104322302100 is 120322340101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 702089816464 + 9402232485636 = 837908^2 + 3066306^2 .

It is a super-3 number, since 3×101043223021003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10681767 + ... + 11589166.

Almost surely, 210104322302100 is an apocalyptic number.

10104322302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104322302100 is an abundant number, since it is smaller than the sum of its proper divisors (13576361820100).

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

10104322302100 is a wasteful number, since it uses less digits than its factorization.

10104322302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22271309 (or 22271302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10104322302100 its reverse (120322340101), we get a palindrome (10224644642201).

The spelling of 10104322302100 in words is "ten trillion, one hundred four billion, three hundred twenty-two million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 349 650 698 1300 1396 1745 3490 4537 6980 8725 9074 17450 18148 22685 34900 45370 90740 113425 226850 453700 22270933 44541866 89083732 111354665 222709330 289522129 445418660 556773325 579044258 1113546650 1158088516 1447610645 2227093300 2895221290 5790442580 7238053225 7772555617 14476106450 15545111234 28952212900 31090222468 38862778085 77725556170 101043223021 155451112340 194313890425 202086446042 388627780850 404172892084 505216115105 777255561700 1010432230210 2020864460420 2526080575525 5052161151050 10104322302100