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101031020310 = 235112191314549
BaseRepresentation
bin101111000010111101…
…0110000011100010110
3100122210000200121020010
41132011322300130112
53123402420122220
6114225113221050
710204433334423
oct1360572603426
9318700617203
10101031020310
1139935416a00
12176b7101786
1396b12bb12c
144c65d64d4a
1529649e71e0
hex1785eb0716

101031020310 has 96 divisors (see below), whose sum is σ = 266679151200. Its totient is φ = 24477882880.

The previous prime is 101031020291. The next prime is 101031020333. The reversal of 101031020310 is 13020130101.

It is a super-2 number, since 2×1010310203102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6936916 + ... + 6951464.

It is an arithmetic number, because the mean of its divisors is an integer number (2777907825).

Almost surely, 2101031020310 is an apocalyptic number.

101031020310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031020310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133339575600).

101031020310 is an abundant number, since it is smaller than the sum of its proper divisors (165648130890).

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

101031020310 is a wasteful number, since it uses less digits than its factorization.

101031020310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16494 (or 16483 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101031020310 its reverse (13020130101), we get a palindrome (114051150411).

The spelling of 101031020310 in words is "one hundred one billion, thirty-one million, twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 1913 3630 3826 5739 9565 11478 14549 19130 21043 28695 29098 42086 43647 57390 63129 72745 87294 105215 126258 145490 160039 210430 218235 231473 315645 320078 436470 462946 480117 631290 694419 800195 960234 1157365 1388838 1600390 1760429 2314730 2400585 3472095 3520858 4801170 5281287 6944190 8802145 10562574 17604290 26406435 27832237 52812870 55664474 83496711 139161185 166993422 278322370 306154607 417483555 612309214 834967110 918463821 1530773035 1836927642 3061546070 3367700677 4592319105 6735401354 9184638210 10103102031 16838503385 20206204062 33677006770 50515510155 101031020310