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101320321340 = 22572307336769
BaseRepresentation
bin101111001011100101…
…0010110100100111100
3100200112012001121122002
41132113022112210330
53130001000240330
6114313530041432
710214545343600
oct1362712264474
9320465047562
10101320321340
1139a73753067
1217777b79278
139729211184
144c92551500
1529800e0e45
hex179729693c

101320321340 has 72 divisors (see below), whose sum is σ = 248318033040. Its totient is φ = 34625138688.

The previous prime is 101320321321. The next prime is 101320321357. The reversal of 101320321340 is 43123023101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132476 + ... + 469244.

It is an arithmetic number, because the mean of its divisors is an integer number (3448861570).

Almost surely, 2101320321340 is an apocalyptic number.

101320321340 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 101320321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124159016520).

101320321340 is an abundant number, since it is smaller than the sum of its proper divisors (146997711700).

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

101320321340 is a wasteful number, since it uses less digits than its factorization.

101320321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337099 (or 337090 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101320321340 its reverse (43123023101), we get a palindrome (144443344441).

The spelling of 101320321340 in words is "one hundred one billion, three hundred twenty million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 307 490 614 980 1228 1535 2149 3070 4298 6140 8596 10745 15043 21490 30086 42980 60172 75215 150430 300860 336769 673538 1347076 1683845 2357383 3367690 4714766 6735380 9429532 11786915 16501681 23573830 33003362 47147660 66006724 82508405 103388083 165016810 206776166 330033620 413552332 516940415 723716581 1033880830 1447433162 2067761660 2894866324 3618582905 5066016067 7237165810 10132032134 14474331620 20264064268 25330080335 50660160670 101320321340