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101323232320 = 2654310172907
BaseRepresentation
bin101111001011101010…
…1011101010001000000
3100200112101112111202011
41132113111131101000
53130002221413240
6114314112302304
710214612156452
oct1362725352100
9320471474664
10101323232320
1139a75361132
1217778b41994
1397299c014b
144c92aac2d2
1529804b86ea
hex179755d440

101323232320 has 112 divisors (see below), whose sum is σ = 249334861248. Its totient is φ = 39194265600.

The previous prime is 101323232299. The next prime is 101323232369. The reversal of 101323232320 is 23232323101.

It is a junction number, because it is equal to n+sod(n) for n = 101323232291 and 101323232300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353307 + ... + 1426213.

Almost surely, 2101323232320 is an apocalyptic number.

101323232320 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 101323232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124667430624).

101323232320 is an abundant number, since it is smaller than the sum of its proper divisors (148011628928).

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

101323232320 is a wasteful number, since it uses less digits than its factorization.

101323232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73068 (or 73058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 101323232320 its reverse (23232323101), we get a palindrome (124555555421).

The spelling of 101323232320 in words is "one hundred one billion, three hundred twenty-three million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 101 160 172 202 215 320 344 404 430 505 688 808 860 1010 1376 1616 1720 2020 2752 3232 3440 4040 4343 6464 6880 8080 8686 13760 16160 17372 21715 32320 34744 43430 69488 72907 86860 138976 145814 173720 277952 291628 347440 364535 583256 694880 729070 1166512 1389760 1458140 2333024 2916280 3135001 4666048 5832560 6270002 7363607 11665120 12540004 14727214 15675005 23330240 25080008 29454428 31350010 36818035 50160016 58908856 62700020 73636070 100320032 117817712 125400040 147272140 200640064 235635424 250800080 294544280 316635101 471270848 501600160 589088560 633270202 1003200320 1178177120 1266540404 1583175505 2356354240 2533080808 3166351010 5066161616 6332702020 10132323232 12665404040 20264646464 25330808080 50661616160 101323232320