Search a number
-
+
10021103100 = 22325215117369
BaseRepresentation
bin10010101010100110…
…11110010111111100
3221212101110210010200
421111103132113330
5131010400244400
64334215003500
7503221654011
oct112523362774
927771423120
1010021103100
114282719098
121b38069590
13c39198a08
146b0c97708
153d9b7ab00
hex2554de5fc

10021103100 has 108 divisors (see below), whose sum is σ = 31435644240. Its totient is φ = 2670163200.

The previous prime is 10021103093. The next prime is 10021103111. The reversal of 10021103100 is 130112001.

It is a super-2 number, since 2×100211031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1356216 + ... + 1363584.

It is an arithmetic number, because the mean of its divisors is an integer number (291070780).

Almost surely, 210021103100 is an apocalyptic number.

10021103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717822120).

10021103100 is an abundant number, since it is smaller than the sum of its proper divisors (21414541140).

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

10021103100 is a wasteful number, since it uses less digits than its factorization.

10021103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10021103100 its reverse (130112001), we get a palindrome (10151215101).

The spelling of 10021103100 in words is "ten billion, twenty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1511 3022 4533 6044 7369 7555 9066 13599 14738 15110 18132 22107 22665 27198 29476 30220 36845 37775 44214 45330 54396 66321 67995 73690 75550 88428 90660 110535 113325 132642 135990 147380 151100 184225 221070 226650 265284 271980 331605 339975 368450 442140 453300 552675 663210 679950 736900 1105350 1326420 1359900 1658025 2210700 3316050 6632100 11134559 22269118 33403677 44538236 55672795 66807354 100211031 111345590 133614708 167018385 200422062 222691180 278363975 334036770 400844124 501055155 556727950 668073540 835091925 1002110310 1113455900 1670183850 2004220620 2505275775 3340367700 5010551550 10021103100