Search a number
-
+
100302301020120 = 2335960187058901
BaseRepresentation
bin10110110011100101110011…
…000001011011111111011000
3111011010210202211000111020020
4112303211303001123333120
5101121323103030120440
6553154124014430440
730061413344335233
oct2663456301337730
9434123684014206
10100302301020120
1129a60a700609a1
12b2bb311802420
1343c760a8b6104
141aaa92b7aa41a
15b8e15dea23d0
hex5b397305bfd8

100302301020120 has 64 divisors (see below), whose sum is σ = 300938247721440. Its totient is φ = 26744494080000.

The previous prime is 100302301020101. The next prime is 100302301020121. The reversal of 100302301020120 is 21020103203001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100302301020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100302301020121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42377331 + ... + 44681570.

Almost surely, 2100302301020120 is an apocalyptic number.

100302301020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100302301020120 is an abundant number, since it is smaller than the sum of its proper divisors (200635946701320).

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

100302301020120 is a wasteful number, since it uses less digits than its factorization.

100302301020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87068516 (or 87068512 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100302301020120 its reverse (21020103203001), we get a palindrome (121322404223121).

The spelling of 100302301020120 in words is "one hundred trillion, three hundred two billion, three hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9601 19202 28803 38404 48005 57606 76808 96010 115212 144015 192020 230424 288030 384040 576060 1152120 87058901 174117802 261176703 348235604 435294505 522353406 696471208 870589010 1044706812 1305883515 1741178020 2089413624 2611767030 3482356040 5223534060 10447068120 835852508501 1671705017002 2507557525503 3343410034004 4179262542505 5015115051006 6686820068008 8358525085010 10030230102012 12537787627515 16717050170020 20060460204024 25075575255030 33434100340040 50151150510060 100302301020120