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10102130334 = 23223613071303
BaseRepresentation
bin10010110100010001…
…00100011010011110
3222002000221101121100
421122020210122132
5131142121132314
64350231413530
7505224456012
oct113210443236
928060841540
1010102130334
11431443104a
121b5b2242a6
13c4cbc881a
146bb94a542
153e1d33c09
hex25a22469e

10102130334 has 96 divisors (see below), whose sum is σ = 23307508224. Its totient is φ = 3155423040.

The previous prime is 10102130333. The next prime is 10102130347. The reversal of 10102130334 is 43303120101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102130333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7752327 + ... + 7753629.

It is an arithmetic number, because the mean of its divisors is an integer number (242786544).

Almost surely, 210102130334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102130334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653754112).

10102130334 is an abundant number, since it is smaller than the sum of its proper divisors (13205377890).

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

10102130334 is a wasteful number, since it uses less digits than its factorization.

10102130334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10102130334 its reverse (43303120101), we get a palindrome (53405250435).

The spelling of 10102130334 in words is "ten billion, one hundred two million, one hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 307 366 414 549 614 921 1098 1303 1403 1842 2606 2763 2806 3909 4209 5526 7061 7818 8418 11727 12627 14122 18727 21183 23454 25254 29969 37454 42366 56181 59938 63549 79483 89907 112362 127098 158966 168543 179814 238449 269721 337086 400021 430721 476898 539442 715347 800042 861442 1200063 1292163 1430694 1828109 2400126 2584326 3600189 3656218 3876489 5484327 7200378 7752978 9200483 10968654 16452981 18400966 24401281 27601449 32905962 48802562 55202898 73203843 82804347 146407686 165608694 219611529 439223058 561229463 1122458926 1683688389 3367376778 5051065167 10102130334