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100311312420 = 223251150662279
BaseRepresentation
bin101110101101100000…
…1010010100000100100
3100120220212102122121100
41131123001102200210
53120414143444140
6114025443320100
710150544041614
oct1353301224044
9316825378540
10100311312420
11395a61367a0
1217536080030
1395c816b587
144bd853aa44
152921730530
hex175b052824

100311312420 has 72 divisors (see below), whose sum is σ = 331939258560. Its totient is φ = 24317893440.

The previous prime is 100311312403. The next prime is 100311312427. The reversal of 100311312420 is 24213113001.

100311312420 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 312 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100311312393 and 100311312402.

It is not an unprimeable number, because it can be changed into a prime (100311312427) 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, 25329160 + ... + 25333119.

It is an arithmetic number, because the mean of its divisors is an integer number (4610267480).

Almost surely, 2100311312420 is an apocalyptic number.

100311312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311312420 is an abundant number, since it is smaller than the sum of its proper divisors (231627946140).

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

100311312420 is a wasteful number, since it uses less digits than its factorization.

100311312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50662305 (or 50662300 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100311312420 its reverse (24213113001), we get a palindrome (124524425421).

The spelling of 100311312420 in words is "one hundred billion, three hundred eleven million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 50662279 101324558 151986837 202649116 253311395 303973674 455960511 506622790 557285069 607947348 759934185 911921022 1013245580 1114570138 1519868370 1671855207 1823842044 2229140276 2279802555 2786425345 3039736740 3343710414 4559605110 5015565621 5572850690 6687420828 8359276035 9119210220 10031131242 11145701380 16718552070 20062262484 25077828105 33437104140 50155656210 100311312420