Search a number
-
+
105553215012 = 223767310311811
BaseRepresentation
bin110001001001101110…
…1100011111000100100
3101002110011222220010210
41202103131203320210
53212133110340022
6120253535415420
710424464344510
oct1422335437044
9332404886123
10105553215012
11408460467a3
1218559684570
139c52165c9b
1451747ab140
152b2ba1ba0c
hex1893763e24

105553215012 has 96 divisors (see below), whose sum is σ = 282322704384. Its totient is φ = 30067430400.

The previous prime is 105553214993. The next prime is 105553215041. The reversal of 105553215012 is 210512355501.

It is a super-2 number, since 2×1055532150122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58283587 + ... + 58285397.

It is an arithmetic number, because the mean of its divisors is an integer number (2940861504).

Almost surely, 2105553215012 is an apocalyptic number.

105553215012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105553215012 is an abundant number, since it is smaller than the sum of its proper divisors (176769489372).

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

105553215012 is a wasteful number, since it uses less digits than its factorization.

105553215012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 105553215012 in words is "one hundred five billion, five hundred fifty-three million, two hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 673 1031 1346 1811 2019 2062 2692 3093 3622 4038 4124 4711 5433 6186 7217 7244 8076 9422 10866 12372 12677 14133 14434 18844 21651 21732 25354 28266 28868 38031 43302 50708 56532 76062 86604 152124 693863 1218803 1387726 1867141 2081589 2437606 2775452 3656409 3734282 4163178 4857041 4875212 5601423 7312818 7468564 8326356 8531621 9714082 11202846 13069987 14571123 14625636 17063242 19428164 22405692 25594863 26139974 29142246 34126484 39209961 51189726 52279948 58284492 78419922 102379452 156839844 1256585893 2513171786 3769757679 5026343572 7539515358 8796101251 15079030716 17592202502 26388303753 35184405004 52776607506 105553215012