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101101310030 = 25729213123371
BaseRepresentation
bin101111000101000011…
…0111001000001001110
3100122221220221200121002
41132022012321001032
53124023413410110
6114240103540302
710206245645630
oct1361206710116
9318856850532
10101101310030
1139971065686
121771675a692
1396c2a2b796
144c71420a50
15296ac7daa5
hex178a1b904e

101101310030 has 64 divisors (see below), whose sum is σ = 215261729280. Its totient is φ = 33450883200.

The previous prime is 101101310029. The next prime is 101101310033. The reversal of 101101310030 is 30013101101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101101309993 and 101101310020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101310033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4314245 + ... + 4337615.

It is an arithmetic number, because the mean of its divisors is an integer number (3363464520).

Almost surely, 2101101310030 is an apocalyptic number.

101101310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101310030 is an abundant number, since it is smaller than the sum of its proper divisors (114160419250).

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

101101310030 is a wasteful number, since it uses less digits than its factorization.

101101310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25545.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 101101310030 its reverse (30013101101), we get a palindrome (131114411131).

The spelling of 101101310030 in words is "one hundred one billion, one hundred one million, three hundred ten thousand, thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 1015 2030 2131 4262 10655 14917 21310 23371 29834 46742 61799 74585 116855 123598 149170 163597 233710 308995 327194 432593 617990 677759 817985 865186 1355518 1635970 2162965 3388795 4325930 4744313 6777590 9488626 23721565 47443130 49803601 99607202 249018005 348625207 498036010 697250414 1444304429 1743126035 2888608858 3486252070 7221522145 10110131003 14443044290 20220262006 50550655015 101101310030