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101031234630 = 23553463137239
BaseRepresentation
bin101111000010111101…
…1100100110001000110
3100122210001002111012220
41132011323210301012
53123402444002010
6114225121553210
710204435216314
oct1360573446106
9318701074186
10101031234630
1139935552a27
12176b71a5806
1396b1364851
144c65dbd0b4
152964a3a970
hex1785ee4c46

101031234630 has 64 divisors (see below), whose sum is σ = 247585351680. Its totient is φ = 26376045696.

The previous prime is 101031234599. The next prime is 101031234631. The reversal of 101031234630 is 36432130101.

It is a happy number.

It is a super-2 number, since 2×1010312346302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101031234630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031234631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 667551 + ... + 804789.

It is an arithmetic number, because the mean of its divisors is an integer number (3868521120).

Almost surely, 2101031234630 is an apocalyptic number.

101031234630 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 101031234630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123792675840).

101031234630 is an abundant number, since it is smaller than the sum of its proper divisors (146554117050).

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

101031234630 is a wasteful number, since it uses less digits than its factorization.

101031234630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137765.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101031234630 its reverse (36432130101), we get a palindrome (137463364731).

The spelling of 101031234630 in words is "one hundred one billion, thirty-one million, two hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 463 530 795 926 1389 1590 2315 2778 4630 6945 13890 24539 49078 73617 122695 137239 147234 245390 274478 368085 411717 686195 736170 823434 1372390 2058585 4117170 7273667 14547334 21821001 36368335 43642002 63541657 72736670 109105005 127083314 190624971 218210010 317708285 381249942 635416570 953124855 1906249710 3367707821 6735415642 10103123463 16838539105 20206246926 33677078210 50515617315 101031234630