Search a number
-
+
10303000112100 = 22352101340033007
BaseRepresentation
bin1001010111101101101010…
…1010010110101111100100
31100110221211210101202200110
42111323122222112233210
52322301021012041400
633525044413013020
72112236642660313
oct225733252265744
940427753352613
1010303000112100
113312528a67a03
1211a4959a84170
135997516aa697
1427894c8a627a
1512d010bb8e50
hex95edaa96be4

10303000112100 has 72 divisors (see below), whose sum is σ = 30105162396288. Its totient is φ = 2720264048000.

The previous prime is 10303000112087. The next prime is 10303000112107. The reversal of 10303000112100 is 121100030301.

It is a super-2 number, since 2×103030001121002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10303000112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169986204 + ... + 170046803.

It is an arithmetic number, because the mean of its divisors is an integer number (418127255504).

Almost surely, 210303000112100 is an apocalyptic number.

10303000112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303000112100 is an abundant number, since it is smaller than the sum of its proper divisors (19802162284188).

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

10303000112100 is a wasteful number, since it uses less digits than its factorization.

10303000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340033125 (or 340033118 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10303000112100 its reverse (121100030301), we get a palindrome (10424100142401).

The spelling of 10303000112100 in words is "ten trillion, three hundred three billion, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 340033007 680066014 1020099021 1360132028 1700165035 2040198042 3400330070 4080396084 5100495105 6800660140 8500825175 10200990210 17001650350 20401980420 25502475525 34003300700 34343333707 51004951050 68686667414 102009902100 103030001121 137373334828 171716668535 206060002242 343433337070 412120004484 515150005605 686866674140 858583342675 1030300011210 1717166685350 2060600022420 2575750028025 3434333370700 5151500056050 10303000112100