Search a number
-
+
310102100196 = 22379740993053
BaseRepresentation
bin1001000001100111000…
…01101000100011100100
31002122102112210220000020
410200303201220203210
520040042114201241
6354243044115140
731255422234450
oct4406341504344
91078375726006
10310102100196
1110a571607739
1250124695ab0
132331ca167a5
141101aa81660
1580ee4d8b66
hex48338688e4

310102100196 has 96 divisors (see below), whose sum is σ = 837515777280. Its totient is φ = 87471857664.

The previous prime is 310102100167. The next prime is 310102100251. The reversal of 310102100196 is 691001201013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3286006 + ... + 3379058.

It is an arithmetic number, because the mean of its divisors is an integer number (8724122680).

Almost surely, 2310102100196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310102100196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418757888640).

310102100196 is an abundant number, since it is smaller than the sum of its proper divisors (527413677084).

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

310102100196 is a wasteful number, since it uses less digits than its factorization.

310102100196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93573 (or 93571 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 310102100196 in words is "three hundred ten billion, one hundred two million, one hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 409 582 679 818 1164 1227 1358 1636 2037 2454 2716 2863 4074 4908 5726 8148 8589 11452 17178 34356 39673 79346 93053 119019 158692 186106 238038 277711 279159 372212 476076 555422 558318 651371 833133 1110844 1116636 1302742 1666266 1954113 2605484 3332532 3908226 7816452 9026141 18052282 27078423 36104564 38058677 54156846 63182987 76117354 108313692 114176031 126365974 152234708 189548961 228352062 252731948 266410739 379097922 456704124 532821478 758195844 799232217 1065642956 1598464434 3196928868 3691691669 7383383338 11075075007 14766766676 22150150014 25841841683 44300300028 51683683366 77525525049 103367366732 155051050098 310102100196