Search a number
-
+
100135333320 = 233511372050273
BaseRepresentation
bin101110101000010000…
…1111110110111001000
3100120110121021222122220
41131100201332313020
53120034121131240
6114000155414040
710143306201201
oct1352041766710
9316417258586
10100135333320
1139515870020
12174a7154320
13959a874929
144bbd00c5a8
15291106d5d0
hex175087edc8

100135333320 has 128 divisors (see below), whose sum is σ = 336572979840. Its totient is φ = 23619133440.

The previous prime is 100135333313. The next prime is 100135333321. The reversal of 100135333320 is 23333531001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100135333321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976297 + ... + 1073976.

It is an arithmetic number, because the mean of its divisors is an integer number (2629476405).

Almost surely, 2100135333320 is an apocalyptic number.

100135333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100135333320 is an abundant number, since it is smaller than the sum of its proper divisors (236437646520).

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

100135333320 is a wasteful number, since it uses less digits than its factorization.

100135333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050335 (or 2050331 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

Adding to 100135333320 its reverse (23333531001), we get a palindrome (123468864321).

The spelling of 100135333320 in words is "one hundred billion, one hundred thirty-five million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 2050273 4100546 6150819 8201092 10251365 12301638 16402184 20502730 22553003 24603276 30754095 41005460 45106006 49206552 61508190 67659009 75860101 82010920 90212012 112765015 123016380 135318018 151720202 180424024 225530030 227580303 246032760 270636036 303440404 338295045 379300505 451060060 455160606 541272072 606880808 676590090 758601010 834461111 902120120 910321212 1137901515 1353180180 1517202020 1668922222 1820642424 2275803030 2503383333 2706360360 3034404040 3337844444 4172305555 4551606060 5006766666 6675688888 8344611110 9103212120 10013533332 12516916665 16689222220 20027066664 25033833330 33378444440 50067666660 100135333320